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57214440 = 233251031543
BaseRepresentation
bin1101101001000…
…0010111101000
310222122210110100
43122100113220
5104121330230
65402145400
71263212643
oct332202750
9128583410
1057214440
112a329068
12171b2260
13bb130ca
147854a5a
155052660
hex36905e8

57214440 has 96 divisors (see below), whose sum is σ = 187873920. Its totient is φ = 15099264.

The previous prime is 57214429. The next prime is 57214447. The reversal of 57214440 is 4441275.

57214440 is a `hidden beast` number, since 5 + 7 + 214 + 440 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (57214447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36309 + ... + 37851.

It is an arithmetic number, because the mean of its divisors is an integer number (1957020).

Almost surely, 257214440 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 57214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93936960).

57214440 is an abundant number, since it is smaller than the sum of its proper divisors (130659480).

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

57214440 is a wasteful number, since it uses less digits than its factorization.

57214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 57214440 is about 7564.0227392572. The cubic root of 57214440 is about 385.3321247180.

The spelling of 57214440 in words is "fifty-seven million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1543 1545 1854 2060 2472 3086 3090 3708 4120 4629 4635 6172 6180 7416 7715 9258 9270 12344 12360 13887 15430 18516 18540 23145 27774 30860 37032 37080 46290 55548 61720 69435 92580 111096 138870 158929 185160 277740 317858 476787 555480 635716 794645 953574 1271432 1430361 1589290 1907148 2383935 2860722 3178580 3814296 4767870 5721444 6357160 7151805 9535740 11442888 14303610 19071480 28607220 57214440