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57122240 = 265723643
BaseRepresentation
bin1101100111100…
…1110111000000
310222111002222112
43121321313000
5104110402430
65400154452
71262350100
oct331716700
9128432875
1057122240
112a27586a
1217168a28
13bab0156
14782d200
155035195
hex3679dc0

57122240 has 84 divisors (see below), whose sum is σ = 158273496. Its totient is φ = 19579392.

The previous prime is 57122237. The next prime is 57122251. The reversal of 57122240 is 4222175.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13859 + ... + 17501.

Almost surely, 257122240 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 57122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79136748).

57122240 is an abundant number, since it is smaller than the sum of its proper divisors (101151256).

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

57122240 is a wasteful number, since it uses less digits than its factorization.

57122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 57122240 is about 7557.9256413384. The cubic root of 57122240 is about 385.1250282634.

The spelling of 57122240 in words is "fifty-seven million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3643 3920 7286 7840 14572 15680 18215 25501 29144 36430 51002 58288 72860 102004 116576 127505 145720 178507 204008 233152 255010 291440 357014 408016 510020 582880 714028 816032 892535 1020040 1165760 1428056 1632064 1785070 2040080 2856112 3570140 4080160 5712224 7140280 8160320 11424448 14280560 28561120 57122240