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5432296584 = 23311132368819
BaseRepresentation
bin1010000111100101…
…00100010010001000
3112000120211020222210
411003302210102020
542111131442314
62255012545120
7251421521241
oct50362442210
915016736883
105432296584
112338431910
1210773221a0
1368759a5a0
14397671cc8
1521bd99559
hex143ca4488

5432296584 has 128 divisors (see below), whose sum is σ = 16648934400. Its totient is φ = 1453436160.

The previous prime is 5432296577. The next prime is 5432296591. The reversal of 5432296584 is 4856922345.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5432296577) and next prime (5432296591).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44527 + ... + 113345.

It is an arithmetic number, because the mean of its divisors is an integer number (130069800).

Almost surely, 25432296584 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 5432296584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324467200).

5432296584 is an abundant number, since it is smaller than the sum of its proper divisors (11216637816).

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

5432296584 is a wasteful number, since it uses less digits than its factorization.

5432296584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68875 (or 68871 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 5432296584 is about 73704.1151089951. The cubic root of 5432296584 is about 1757.9013147372.

The spelling of 5432296584 in words is "five billion, four hundred thirty-two million, two hundred ninety-six thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 78 88 92 104 132 138 143 156 184 253 264 276 286 299 312 429 506 552 572 598 759 858 897 1012 1144 1196 1518 1716 1794 2024 2392 3036 3289 3432 3588 6072 6578 7176 9867 13156 19734 26312 39468 68819 78936 137638 206457 275276 412914 550552 757009 825828 894647 1514018 1582837 1651656 1789294 2271027 2683941 3028036 3165674 3578588 4542054 4748511 5367882 6056072 6331348 7157176 9084108 9497022 9841117 10735764 12662696 17411207 18168216 18994044 19682234 20576881 21471528 29523351 34822414 37988088 39364468 41153762 52233621 59046702 61730643 69644828 78728936 82307524 104467242 118093404 123461286 139289656 164615048 208934484 226345691 236186808 246922572 417868968 452691382 493845144 679037073 905382764 1358074146 1810765528 2716148292 5432296584