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495894432 = 253112916193
BaseRepresentation
bin11101100011101…
…011111110100000
31021120010001021110
4131203223332200
52003422110212
6121112423320
715201014235
oct3543537640
91246101243
10495894432
11234a12910
1211a0a7b40
137b978477
1449c0778c
152d806a3c
hex1d8ebfa0

495894432 has 96 divisors (see below), whose sum is σ = 1469119680. Its totient is φ = 145080320.

The previous prime is 495894431. The next prime is 495894463. The reversal of 495894432 is 234498594.

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

It is a super-2 number, since 2×4958944322 = 491822575377205248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (495894431) 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 15 ways as a sum of consecutive naturals, for example, 22528 + ... + 38720.

It is an arithmetic number, because the mean of its divisors is an integer number (15303330).

Almost surely, 2495894432 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 495894432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734559840).

495894432 is an abundant number, since it is smaller than the sum of its proper divisors (973225248).

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

495894432 is a wasteful number, since it uses less digits than its factorization.

495894432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16238 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 495894432 is about 22268.6872536304. The cubic root of 495894432 is about 791.5221584484.

The spelling of 495894432 in words is "four hundred ninety-five million, eight hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 16193 30624 32386 48579 64772 97158 129544 178123 194316 259088 356246 388632 469597 518176 534369 712492 777264 939194 1068738 1408791 1424984 1554528 1878388 2137476 2817582 2849968 3756776 4274952 5165567 5635164 5699936 7513552 8549904 10331134 11270328 15027104 15496701 17099808 20662268 22540656 30993402 41324536 45081312 61986804 82649072 123973608 165298144 247947216 495894432