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53605552 = 24711133347
BaseRepresentation
bin1100110001111…
…1010010110000
310201212102222211
43030133102300
5102210334202
65152541504
71220432260
oct314372260
9121772884
1053605552
1128293710
1215b51894
13b14b580
1471957a0
154a8d1d7
hex331f4b0

53605552 has 80 divisors (see below), whose sum is σ = 139491072. Its totient is φ = 19272960.

The previous prime is 53605547. The next prime is 53605567. The reversal of 53605552 is 25550635.

53605552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 14343 + ... + 17689.

Almost surely, 253605552 is an apocalyptic number.

53605552 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 53605552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536).

53605552 is an abundant number, since it is smaller than the sum of its proper divisors (85885520).

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

53605552 is a wasteful number, since it uses less digits than its factorization.

53605552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

The square root of 53605552 is about 7321.5812499760. The cubic root of 53605552 is about 377.0537439768.

The spelling of 53605552 in words is "fifty-three million, six hundred five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 3347 4004 6694 8008 13388 16016 23429 26776 36817 43511 46858 53552 73634 87022 93716 147268 174044 187432 257719 294536 304577 348088 374864 478621 515438 589072 609154 696176 957242 1030876 1218308 1914484 2061752 2436616 3350347 3828968 4123504 4873232 6700694 7657936 13401388 26802776 53605552