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496621240 = 2351931107197
BaseRepresentation
bin11101100110011…
…101011010111000
31021121110222021021
4131212131122320
52004113334430
6121140152224
715210132223
oct3546353270
91247428237
10496621240
11235369985
1211a398674
137bb7122b
1449d565ba
152d8ec07a
hex1d99d6b8

496621240 has 128 divisors (see below), whose sum is σ = 1231718400. Its totient is φ = 179504640.

The previous prime is 496621211. The next prime is 496621241. The reversal of 496621240 is 42126694.

It is a junction number, because it is equal to n+sod(n) for n = 496621196 and 496621205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496621241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2520822 + ... + 2521018.

It is an arithmetic number, because the mean of its divisors is an integer number (9622800).

Almost surely, 2496621240 is an apocalyptic number.

496621240 is a gapful number since it is divisible by the number (40) 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 496621240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615859200).

496621240 is an abundant number, since it is smaller than the sum of its proper divisors (735097160).

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

496621240 is a wasteful number, since it uses less digits than its factorization.

496621240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 496621240 is about 22285.0003365492. Note that the first 3 decimals coincide. The cubic root of 496621240 is about 791.9086680044.

The spelling of 496621240 in words is "four hundred ninety-six million, six hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 107 124 152 155 190 197 214 248 310 380 394 428 535 589 620 760 788 856 985 1070 1178 1240 1576 1970 2033 2140 2356 2945 3317 3743 3940 4066 4280 4712 5890 6107 6634 7486 7880 8132 10165 11780 12214 13268 14972 16264 16585 18715 20330 21079 23560 24428 26536 29944 30535 33170 37430 40660 42158 48856 61070 63023 66340 74860 81320 84316 105395 116033 122140 126046 132680 149720 168632 210790 232066 244280 252092 315115 400501 421580 464132 504184 580165 630230 653449 801002 843160 928264 1160330 1260460 1306898 1602004 2002505 2320660 2520920 2613796 3204008 3267245 4005010 4641320 5227592 6534490 8010020 12415531 13068980 16020040 24831062 26137960 49662124 62077655 99324248 124155310 248310620 496621240