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56024072 = 23131992707
BaseRepresentation
bin1101010110110…
…1110000001000
310220102022120122
43111231300020
5103320232242
65320442412
71250124326
oct325556010
9126368518
1056024072
1129695795
1216919408
13b7b7350
147624d16
154db9ad2
hex356dc08

56024072 has 32 divisors (see below), whose sum is σ = 113736000. Its totient is φ = 25717824.

The previous prime is 56024063. The next prime is 56024077. The reversal of 56024072 is 27042065.

It is a super-2 number, since 2×560240722 = 6277393286922368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (56024077) 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, 19343 + ... + 22049.

It is an arithmetic number, because the mean of its divisors is an integer number (3554250).

Almost surely, 256024072 is an apocalyptic number.

56024072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56024072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56868000).

56024072 is an abundant number, since it is smaller than the sum of its proper divisors (57711928).

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

56024072 is a wasteful number, since it uses less digits than its factorization.

56024072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 56024072 is about 7484.9229788956. The cubic root of 56024072 is about 382.6410478437.

The spelling of 56024072 in words is "fifty-six million, twenty-four thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 199 398 796 1592 2587 2707 5174 5414 10348 10828 20696 21656 35191 70382 140764 281528 538693 1077386 2154772 4309544 7003009 14006018 28012036 56024072