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53672520 = 23351173557
BaseRepresentation
bin1100110010111…
…1101001001000
310201222211212010
43030233221020
5102220010040
65154215520
71221131436
oct314575110
9121884763
1053672520
1128329a60
1215b845a0
13b172bb5
1471b1d56
154aa2e80
hex332fa48

53672520 has 128 divisors (see below), whose sum is σ = 178381440. Its totient is φ = 12810240.

The previous prime is 53672513. The next prime is 53672537. The reversal of 53672520 is 2527635.

53672520 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 (30).

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 31 ways as a sum of consecutive naturals, for example, 96082 + ... + 96638.

It is an arithmetic number, because the mean of its divisors is an integer number (1393605).

Almost surely, 253672520 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 53672520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89190720).

53672520 is an abundant number, since it is smaller than the sum of its proper divisors (124708920).

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

53672520 is a wasteful number, since it uses less digits than its factorization.

53672520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 53672520 is about 7326.1531515523. The cubic root of 53672520 is about 377.2106930647.

It can be divided in two parts, 5367 and 2520, that added together give a palindrome (7887).

The spelling of 53672520 in words is "fifty-three million, six hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 557 584 660 730 803 876 1095 1114 1320 1460 1606 1671 1752 2190 2228 2409 2785 2920 3212 3342 4015 4380 4456 4818 5570 6127 6424 6684 8030 8355 8760 9636 11140 12045 12254 13368 16060 16710 18381 19272 22280 24090 24508 30635 32120 33420 36762 40661 48180 49016 61270 66840 73524 81322 91905 96360 121983 122540 147048 162644 183810 203305 243966 245080 325288 367620 406610 447271 487932 609915 735240 813220 894542 975864 1219830 1341813 1626440 1789084 2236355 2439660 2683626 3578168 4472710 4879320 5367252 6709065 8945420 10734504 13418130 17890840 26836260 53672520