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53616552 = 23311237499
BaseRepresentation
bin1100110010000…
…1111110101000
310201220000002020
43030201332220
5102211212202
65153104440
71220506323
oct314417650
9121800066
1053616552
11282a0a00
1215b58120
13b153592
1471997ba
154a915bc
hex3321fa8

53616552 has 96 divisors (see below), whose sum is σ = 151620000. Its totient is φ = 15776640.

The previous prime is 53616539. The next prime is 53616583. The reversal of 53616552 is 25561635.

53616552 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 (33).

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 23 ways as a sum of consecutive naturals, for example, 107199 + ... + 107697.

It is an arithmetic number, because the mean of its divisors is an integer number (1579375).

Almost surely, 253616552 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 53616552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75810000).

53616552 is an abundant number, since it is smaller than the sum of its proper divisors (98003448).

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

53616552 is a wasteful number, since it uses less digits than its factorization.

53616552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 552 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 53616552 is about 7322.3324152895. The cubic root of 53616552 is about 377.0795330190.

It can be divided in two parts, 53 and 616552, that added together give a triangular number (616605 = T1110).

The spelling of 53616552 in words is "fifty-three million, six hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 499 726 814 888 968 998 1221 1452 1497 1628 1996 2442 2904 2994 3256 3992 4477 4884 5489 5988 8954 9768 10978 11976 13431 16467 17908 18463 21956 26862 32934 35816 36926 43912 53724 55389 60379 65868 73852 107448 110778 120758 131736 147704 181137 203093 221556 241516 362274 406186 443112 483032 609279 724548 812372 1218558 1449096 1624744 2234023 2437116 4468046 4874232 6702069 8936092 13404138 17872184 26808276 53616552