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57389948 = 22711389479
BaseRepresentation
bin1101101011101…
…1001101111100
310222222201012122
43122323031330
5104142434243
65410022112
71264543430
oct332731574
9128881178
1057389948
112a438a10
1217277938
13bb74c65
14789c9c0
155089668
hex36bb37c

57389948 has 48 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 22255680.

The previous prime is 57389887. The next prime is 57389951. The reversal of 57389948 is 84998375.

It is a super-2 number, since 2×573899482 = 6587212262885408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57389948.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119573 + ... + 120051.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 257389948 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 57389948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

57389948 is an abundant number, since it is smaller than the sum of its proper divisors (68408452).

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

57389948 is a wasteful number, since it uses less digits than its factorization.

57389948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 888 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 53.

The square root of 57389948 is about 7575.6153545438. The cubic root of 57389948 is about 385.7257306944.

The spelling of 57389948 in words is "fifty-seven million, three hundred eighty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 389 479 778 958 1556 1916 2723 3353 4279 5269 5446 6706 8558 10538 10892 13412 17116 21076 29953 36883 59906 73766 119812 147532 186331 372662 745324 1304317 2049641 2608634 4099282 5217268 8198564 14347487 28694974 57389948