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494913132 = 223372412281
BaseRepresentation
bin11101011111111…
…100011001101100
31021111021012012000
4131133330121230
52003144210012
6121035412300
715156456300
oct3537743154
91244235160
10494913132
1123440261a
121198b4090
137b6c390c
1449a2dd00
152d6b0ddc
hex1d7fc66c

494913132 has 144 divisors (see below), whose sum is σ = 1529670240. Its totient is φ = 137894400.

The previous prime is 494913131. The next prime is 494913143. The reversal of 494913132 is 231319494.

494913132 is a `hidden beast` number, since 494 + 9 + 131 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (494913131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215832 + ... + 218112.

It is an arithmetic number, because the mean of its divisors is an integer number (10622710).

Almost surely, 2494913132 is an apocalyptic number.

494913132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494913132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764835120).

494913132 is an abundant number, since it is smaller than the sum of its proper divisors (1034757108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

494913132 is a wasteful number, since it uses less digits than its factorization.

494913132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2334 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 494913132 is about 22246.6431625088. The cubic root of 494913132 is about 790.9997128461. Note that the first 3 decimals are identical.

It can be divided in two parts, 4949 and 13132, that added together give a palindrome (18081).

The spelling of 494913132 in words is "four hundred ninety-four million, nine hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 63 82 84 98 108 123 126 147 164 189 196 246 252 287 294 369 378 441 492 574 588 738 756 861 882 1107 1148 1323 1476 1722 1764 2009 2214 2281 2583 2646 3444 4018 4428 4562 5166 5292 6027 6843 7749 8036 9124 10332 12054 13686 15498 15967 18081 20529 24108 27372 30996 31934 36162 41058 47901 54243 61587 63868 72324 82116 93521 95802 108486 111769 123174 143703 187042 191604 216972 223538 246348 280563 287406 335307 374084 431109 447076 561126 574812 654647 670614 841689 862218 1005921 1122252 1309294 1341228 1683378 1724436 1963941 2011842 2525067 2618588 3017763 3366756 3927882 4023684 4582529 5050134 5891823 6035526 7855764 9165058 10100268 11783646 12071052 13747587 17675469 18330116 23567292 27495174 35350938 41242761 54990348 70701876 82485522 123728283 164971044 247456566 494913132