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52754834448 = 24322414313527
BaseRepresentation
bin110001001000011011…
…101110010000010000
312001011120112021001100
4301020123232100100
51331020214200243
640122451104400
73545212460031
oct611033562020
9161146467040
1052754834448
1120411801a38
12a2835a2100
134c89715194
1427a6558a88
15158b65c0d3
hexc486ee410

52754834448 has 120 divisors (see below), whose sum is σ = 148638986496. Its totient is φ = 17466393600.

The previous prime is 52754834417. The next prime is 52754834453. The reversal of 52754834448 is 84443845725.

52754834448 is a `hidden beast` number, since 5 + 27 + 548 + 34 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52754834394 and 52754834403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14955661 + ... + 14959187.

Almost surely, 252754834448 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 52754834448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74319493248).

52754834448 is an abundant number, since it is smaller than the sum of its proper divisors (95884152048).

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

52754834448 is a wasteful number, since it uses less digits than its factorization.

52754834448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4204 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 54.

The spelling of 52754834448 in words is "fifty-two billion, seven hundred fifty-four million, eight hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 431 482 723 862 964 1293 1446 1724 1928 2169 2586 2892 3448 3527 3856 3879 4338 5172 5784 6896 7054 7758 8676 10344 10581 11568 14108 15516 17352 20688 21162 28216 31032 31743 34704 42324 56432 62064 63486 84648 103871 126972 169296 207742 253944 311613 415484 507888 623226 830968 850007 934839 1246452 1520137 1661936 1700014 1869678 2492904 2550021 3040274 3400028 3739356 4560411 4985808 5100042 6080548 6800056 7478712 7650063 9120822 10200084 12161096 13600112 13681233 14957424 15300126 18241644 20400168 24322192 27362466 30600252 36483288 40800336 54724932 61200504 72966576 109449864 122401008 218899728 366353017 732706034 1099059051 1465412068 2198118102 2930824136 3297177153 4396236204 5861648272 6594354306 8792472408 13188708612 17584944816 26377417224 52754834448