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52928616 = 23313172587
BaseRepresentation
bin1100100111101…
…0000001101000
310200121001102010
43021322001220
5102022203431
65130235520
71211612556
oct311720150
9120531363
1052928616
1127971064
1215885ba0
13ac72410
14705abd6
1549a7846
hex327a068

52928616 has 96 divisors (see below), whose sum is σ = 151633440. Its totient is φ = 15301632.

The previous prime is 52928597. The next prime is 52928639. The reversal of 52928616 is 61682925.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89875 + ... + 90461.

It is an arithmetic number, because the mean of its divisors is an integer number (1579515).

Almost surely, 252928616 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 52928616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816720).

52928616 is an abundant number, since it is smaller than the sum of its proper divisors (98704824).

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

52928616 is a wasteful number, since it uses less digits than its factorization.

52928616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 52928616 is about 7275.2055641061. The cubic root of 52928616 is about 375.4598589599.

The spelling of 52928616 in words is "fifty-two million, nine hundred twenty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 289 312 408 442 578 587 663 867 884 1156 1174 1326 1734 1761 1768 2312 2348 2652 3468 3522 3757 4696 5304 6936 7044 7514 7631 9979 11271 14088 15028 15262 19958 22542 22893 29937 30056 30524 39916 45084 45786 59874 61048 79832 90168 91572 119748 129727 169643 183144 239496 259454 339286 389181 508929 518908 678572 778362 1017858 1037816 1357144 1556724 2035716 2205359 3113448 4071432 4410718 6616077 8821436 13232154 17642872 26464308 52928616