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57266240 = 265672671
BaseRepresentation
bin1101101001110…
…1000001000000
310222202102111212
43122131001000
5104130004430
65403225252
71263516653
oct332350100
9128672455
1057266240
112a363a79
1217218228
13bb30865
14786989a
155062b95
hex369d040

57266240 has 56 divisors (see below), whose sum is σ = 138452352. Its totient is φ = 22556160.

The previous prime is 57266219. The next prime is 57266263. The reversal of 57266240 is 4266275.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 57266197 and 57266206.

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, 20105 + ... + 22775.

Almost surely, 257266240 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 57266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69226176).

57266240 is an abundant number, since it is smaller than the sum of its proper divisors (81186112).

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

57266240 is a wasteful number, since it uses less digits than its factorization.

57266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 57266240 is about 7567.4460685227. The cubic root of 57266240 is about 385.4483784896.

The spelling of 57266240 in words is "fifty-seven million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 2144 2671 2680 4288 5342 5360 10684 10720 13355 21368 21440 26710 42736 53420 85472 106840 170944 178957 213680 357914 427360 715828 854720 894785 1431656 1789570 2863312 3579140 5726624 7158280 11453248 14316560 28633120 57266240