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57085440 = 29357433
BaseRepresentation
bin1101100111000…
…0111000000000
310222102020111120
43121300320000
5104103213230
65355312240
71262134566
oct331607000
9128366446
1057085440
112a250155
121714b680
13ba99489
14781da36
155029310
hex3670e00

57085440 has 80 divisors (see below), whose sum is σ = 182519568. Its totient is φ = 15220736.

The previous prime is 57085403. The next prime is 57085513. The reversal of 57085440 is 4458075.

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

It is a congruent number.

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, 3964 + ... + 11396.

Almost surely, 257085440 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 57085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91259784).

57085440 is an abundant number, since it is smaller than the sum of its proper divisors (125434128).

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

57085440 is an equidigital number, since it uses as much as digits as its factorization.

57085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 57085440 is about 7555.4907186761. The cubic root of 57085440 is about 385.0423071515.

The spelling of 57085440 in words is "fifty-seven million, eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7433 7680 14866 22299 29732 37165 44598 59464 74330 89196 111495 118928 148660 178392 222990 237856 297320 356784 445980 475712 594640 713568 891960 951424 1189280 1427136 1783920 1902848 2378560 2854272 3567840 3805696 4757120 5708544 7135680 9514240 11417088 14271360 19028480 28542720 57085440