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56553552 = 2434113967
BaseRepresentation
bin1101011110111…
…1000001010000
310221102012220000
43113233001100
5103434203202
65340050000
71254461106
oct327570120
9127365800
1056553552
1129a17580
1216b33900
13b941353
147721c76
154e7191c
hex35ef050

56553552 has 100 divisors (see below), whose sum is σ = 178607616. Its totient is φ = 17133120.

The previous prime is 56553547. The next prime is 56553569. The reversal of 56553552 is 25535565.

56553552 is a `hidden beast` number, since 56 + 5 + 53 + 552 = 666.

56553552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 12273 + ... + 16239.

Almost surely, 256553552 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 56553552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303808).

56553552 is an abundant number, since it is smaller than the sum of its proper divisors (122054064).

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

56553552 is a wasteful number, since it uses less digits than its factorization.

56553552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3983 counting only the distinct ones).

The product of its digits is 112500, while the sum is 36.

The square root of 56553552 is about 7520.2095715479. The cubic root of 56553552 is about 383.8427090180.

The spelling of 56553552 in words is "fifty-six million, five hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 3967 4752 7128 7934 11901 14256 15868 23802 31736 35703 43637 47604 63472 71406 87274 95208 107109 130911 142812 174548 190416 214218 261822 285624 321327 349096 392733 428436 523644 571248 642654 698192 785466 856872 1047288 1178199 1285308 1570932 1713744 2094576 2356398 2570616 3141864 3534597 4712796 5141232 6283728 7069194 9425592 14138388 18851184 28276776 56553552