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56378560 = 265725169
BaseRepresentation
bin1101011100010…
…0010011000000
310221002022211211
43113010103000
5103413103220
65332215504
71253131660
oct327042300
9127068754
1056378560
1129908057
1216a6a594
13b8ac7c4
1476b81a0
154e39b5a
hex35c44c0

56378560 has 56 divisors (see below), whose sum is σ = 153436320. Its totient is φ = 19329024.

The previous prime is 56378551. The next prime is 56378561. The reversal of 56378560 is 6587365.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (56378561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10345 + ... + 14824.

Almost surely, 256378560 is an apocalyptic number.

It is an amenable number.

56378560 is an abundant number, since it is smaller than the sum of its proper divisors (97057760).

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

56378560 is a wasteful number, since it uses less digits than its factorization.

56378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25193 (or 25183 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 56378560 is about 7508.5657751664. The cubic root of 56378560 is about 383.4463955511.

The spelling of 56378560 in words is "fifty-six million, three hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 25169 50338 100676 125845 176183 201352 251690 352366 402704 503380 704732 805408 880915 1006760 1409464 1610816 1761830 2013520 2818928 3523660 4027040 5637856 7047320 8054080 11275712 14094640 28189280 56378560