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56362544 = 2472293767
BaseRepresentation
bin1101011100000…
…0011000110000
310221001111212122
43113000120300
5103412100134
65332013412
71253034200
oct327003060
9127044778
1056362544
11298a7017
1216a61268
13b8a5424
1476b2400
154e3502e
hex35c0630

56362544 has 120 divisors (see below), whose sum is σ = 136977840. Its totient is φ = 22353408.

The previous prime is 56362517. The next prime is 56362547. The reversal of 56362544 is 44526365.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56362547) 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, 841199 + ... + 841265.

It is an arithmetic number, because the mean of its divisors is an integer number (1141482).

Almost surely, 256362544 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 56362544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68488920).

56362544 is an abundant number, since it is smaller than the sum of its proper divisors (80615296).

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

56362544 is a wasteful number, since it uses less digits than its factorization.

56362544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 56362544 is about 7507.4991841491. The cubic root of 56362544 is about 383.4100823433.

The spelling of 56362544 in words is "fifty-six million, three hundred sixty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 37 49 56 58 67 74 98 112 116 134 148 196 203 232 259 268 296 392 406 464 469 518 536 592 784 812 938 1036 1072 1073 1421 1624 1813 1876 1943 2072 2146 2479 2842 3248 3283 3626 3752 3886 4144 4292 4958 5684 6566 7252 7504 7511 7772 8584 9916 11368 13132 13601 14504 15022 15544 17168 17353 19832 22736 26264 27202 29008 30044 31088 34706 39664 52528 52577 54404 60088 69412 71891 95207 105154 108808 120176 121471 138824 143782 190414 210308 217616 242942 277648 287564 380828 420616 485884 503237 575128 761656 841232 971768 1006474 1150256 1523312 1943536 2012948 3522659 4025896 7045318 8051792 14090636 28181272 56362544