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496402380 = 2232517315233
BaseRepresentation
bin11101100101100…
…111111111001100
31021121001212001100
4131211213333030
52004034334010
6121131343100
715205231155
oct3545477714
91247055040
10496402380
1123522a501
1211a2b1a90
137bac5726
1449cda92c
152d8a72c0
hex1d967fcc

496402380 has 144 divisors (see below), whose sum is σ = 1646072064. Its totient is φ = 120545280.

The previous prime is 496402343. The next prime is 496402381. The reversal of 496402380 is 83204694.

It is a happy number.

496402380 is a `hidden beast` number, since 4 + 9 + 640 + 2 + 3 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (496402381) 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, 92244 + ... + 97476.

It is an arithmetic number, because the mean of its divisors is an integer number (11431056).

Almost surely, 2496402380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496402380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823036032).

496402380 is an abundant number, since it is smaller than the sum of its proper divisors (1149669684).

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

496402380 is a wasteful number, since it uses less digits than its factorization.

496402380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 496402380 is about 22280.0893175948. The cubic root of 496402380 is about 791.7923200491.

The spelling of 496402380 in words is "four hundred ninety-six million, four hundred two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 340 372 465 510 527 558 612 620 765 930 1020 1054 1116 1395 1530 1581 1860 2108 2635 2790 3060 3162 4743 5233 5270 5580 6324 7905 9486 10466 10540 15699 15810 18972 20932 23715 26165 31398 31620 47097 47430 52330 62796 78495 88961 94194 94860 104660 156990 162223 177922 188388 235485 266883 313980 324446 355844 444805 470970 486669 533766 648892 800649 811115 889610 941940 973338 1067532 1334415 1460007 1601298 1622230 1779220 1946676 2433345 2668830 2757791 2920014 3202596 3244460 4003245 4866690 5337660 5515582 5840028 7300035 8006490 8273373 9733380 11031164 13788955 14600070 16012980 16546746 24820119 27577910 29200140 33093492 41366865 49640238 55155820 82733730 99280476 124100595 165467460 248201190 496402380