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2057853952 = 21071126099
BaseRepresentation
bin111101010101000…
…0101110000000000
312022102012210221001
41322222011300000
513203302311302
6540110541344
7101665320130
oct17252056000
95272183831
102057853952
11966672150
12495207854
1326a45257b
14157438ac0
15c09de787
hex7aa85c00

2057853952 has 88 divisors (see below), whose sum is σ = 5128963200. Its totient is φ = 801730560.

The previous prime is 2057853929. The next prime is 2057853991. The reversal of 2057853952 is 2593587502.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65799 + ... + 91897.

Almost surely, 22057853952 is an apocalyptic number.

2057853952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564481600).

2057853952 is an abundant number, since it is smaller than the sum of its proper divisors (3071109248).

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

2057853952 is a wasteful number, since it uses less digits than its factorization.

2057853952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26137 (or 26119 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The square root of 2057853952 is about 45363.5751677488. The cubic root of 2057853952 is about 1271.9543250611.

The spelling of 2057853952 in words is "two billion, fifty-seven million, eight hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2464 2816 3584 4928 5632 7168 9856 11264 19712 26099 39424 52198 78848 104396 182693 208792 287089 365386 417584 574178 730772 835168 1148356 1461544 1670336 2009623 2296712 2923088 3340672 4019246 4593424 5846176 6681344 8038492 9186848 11692352 13362688 16076984 18373696 23384704 26725376 32153968 36747392 46769408 64307936 73494784 93538816 128615872 146989568 187077632 257231744 293979136 514463488 1028926976 2057853952