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57991440 = 24351318587
BaseRepresentation
bin1101110100111…
…0000100010000
311001010021022010
43131032010100
5104321211230
65430542520
71302630153
oct335160420
9131107263
1057991440
112a809911
1217507a40
13c025980
1479b7c9a
1551579b0
hex374e110

57991440 has 80 divisors (see below), whose sum is σ = 193612608. Its totient is φ = 14274048.

The previous prime is 57991411. The next prime is 57991447. The reversal of 57991440 is 4419975.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×579914402 = 6726014226547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57991447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6174 + ... + 12413.

Almost surely, 257991440 is an apocalyptic number.

It is an amenable number.

57991440 is an abundant number, since it is smaller than the sum of its proper divisors (135621168).

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

57991440 is a wasteful number, since it uses less digits than its factorization.

57991440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18616 (or 18610 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 57991440 is about 7615.2110935942. The cubic root of 57991440 is about 387.0686201925.

The spelling of 57991440 in words is "fifty-seven million, nine hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 18587 37174 55761 74348 92935 111522 148696 185870 223044 241631 278805 297392 371740 446088 483262 557610 724893 743480 892176 966524 1115220 1208155 1449786 1486960 1933048 2230440 2416310 2899572 3624465 3866096 4460880 4832620 5799144 7248930 9665240 11598288 14497860 19330480 28995720 57991440