Search a number
-
+
496661088 = 25371167189
BaseRepresentation
bin11101100110100…
…111001001100000
31021121112222221010
4131212213021200
52004121123323
6121141100520
715210356340
oct3546471140
91247488833
10496661088
11235396910
1211a3b7740
137bb86401
1449d66d20
152d908c93
hex1d9a7260

496661088 has 96 divisors (see below), whose sum is σ = 1625460480. Its totient is φ = 129000960.

The previous prime is 496661021. The next prime is 496661089. The reversal of 496661088 is 880166694.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496661089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26203 + ... + 40986.

It is an arithmetic number, because the mean of its divisors is an integer number (16931880).

Almost surely, 2496661088 is an apocalyptic number.

496661088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

496661088 is an abundant number, since it is smaller than the sum of its proper divisors (1128799392).

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

496661088 is a wasteful number, since it uses less digits than its factorization.

496661088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67220 (or 67212 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 496661088 is about 22285.8943728987. The cubic root of 496661088 is about 791.9298478829.

The spelling of 496661088 in words is "four hundred ninety-six million, six hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 67189 134378 201567 268756 403134 470323 537512 739079 806268 940646 1075024 1410969 1478158 1612536 1881292 2150048 2217237 2821938 2956316 3225072 3762584 4434474 5173553 5643876 5912632 6450144 7525168 8868948 10347106 11287752 11825264 15050336 15520659 17737896 20694212 22575504 23650528 31041318 35475792 41388424 45151008 62082636 70951584 82776848 124165272 165553696 248330544 496661088