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57258746944 = 267242732
BaseRepresentation
bin110101010100111000…
…110010010001000000
312110210110102201111021
4311110320302101000
51414231214400234
642145421355224
74064632214200
oct652470622100
9173713381437
1057258746944
1122313085073
12b11ba08b14
13552685b769
142ab27a2400
151751c6e9b4
hexd54e32440

57258746944 has 63 divisors (see below), whose sum is σ = 132204430917. Its totient is φ = 24533720064.

The previous prime is 57258746929. The next prime is 57258746953. The reversal of 57258746944 is 44964785275.

The square root of 57258746944 is 239288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15525160000 + 41733586944 = 124600^2 + 204288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13397992 + ... + 13402264.

Almost surely, 257258746944 is an apocalyptic number.

57258746944 is the 239288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57258746944

57258746944 is an abundant number, since it is smaller than the sum of its proper divisors (74945683973).

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

57258746944 is an frugal number, since it uses more digits than its factorization.

57258746944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8572 (or 4282 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 61.

The spelling of 57258746944 in words is "fifty-seven billion, two hundred fifty-eight million, seven hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4273 8546 17092 29911 34184 59822 68368 119644 136736 209377 239288 273472 418754 478576 837508 957152 1675016 1914304 3350032 6700064 13400128 18258529 36517058 73034116 127809703 146068232 255619406 292136464 511238812 584272928 894667921 1022477624 1168545856 1789335842 2044955248 3578671684 4089910496 7157343368 8179820992 14314686736 28629373472 57258746944