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56223552 = 2637113803
BaseRepresentation
bin1101011001111…
…0011101000000
310220210110012210
43112132131000
5103343123202
65325022120
71251615030
oct326363500
9126713183
1056223552
1129811650
12169b4940
13b857098
1476778c0
154e08c6c
hex359e740

56223552 has 112 divisors (see below), whose sum is σ = 185513472. Its totient is φ = 14599680.

The previous prime is 56223533. The next prime is 56223571. The reversal of 56223552 is 25532265.

56223552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56223533) and next prime (56223571).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×562235522 = 6322175598993408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12883 + ... + 16685.

Almost surely, 256223552 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 56223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92756736).

56223552 is an abundant number, since it is smaller than the sum of its proper divisors (129289920).

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

56223552 is a wasteful number, since it uses less digits than its factorization.

56223552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3826 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 56223552 is about 7498.2365926930. The cubic root of 56223552 is about 383.0946553696.

The spelling of 56223552 in words is "fifty-six million, two hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 3803 4928 7392 7606 11409 14784 15212 22818 26621 30424 41833 45636 53242 60848 79863 83666 91272 106484 121696 125499 159726 167332 182544 212968 243392 250998 292831 319452 334664 365088 425936 501996 585662 638904 669328 730176 851872 878493 1003992 1171324 1277808 1338656 1703744 1756986 2007984 2342648 2555616 2677312 3513972 4015968 4685296 5111232 7027944 8031936 9370592 14055888 18741184 28111776 56223552