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296513856 = 26323713913
BaseRepresentation
bin10001101011000…
…111000101000000
3202122221110112200
4101223013011000
51101401420411
645231153200
710230216612
oct2153070500
9678843480
10296513856
11142413281
1283375800
134957a0b2
142b546db2
151b070e56
hex11ac7140

296513856 has 84 divisors (see below), whose sum is σ = 872936532. Its totient is φ = 96159744.

The previous prime is 296513839. The next prime is 296513857. The reversal of 296513856 is 658315692.

It can be written as a sum of positive squares in 2 ways, for example, as 232257600 + 64256256 = 15240^2 + 8016^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296513857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14356 + ... + 28268.

Almost surely, 2296513856 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 296513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436468266).

296513856 is an abundant number, since it is smaller than the sum of its proper divisors (576422676).

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

296513856 is a wasteful number, since it uses less digits than its factorization.

296513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 13955 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 296513856 is about 17219.5776951701. The cubic root of 296513856 is about 666.8297965242.

The spelling of 296513856 in words is "two hundred ninety-six million, five hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 13913 21312 27826 41739 55652 83478 111304 125217 166956 222608 250434 333912 445216 500868 514781 667824 890432 1001736 1029562 1335648 1544343 2003472 2059124 2671296 3088686 4006944 4118248 4633029 6177372 8013888 8236496 9266058 12354744 16472992 18532116 24709488 32945984 37064232 49418976 74128464 98837952 148256928 296513856