Search a number
-
+
652331616 = 253171972029
BaseRepresentation
bin100110111000011…
…100101001100000
31200110110212202020
4212320130221200
52313444102431
6144421421440
722110504306
oct4670345140
91613425666
10652331616
11305251442
1216256a880
13a51bc351
14628ca276
153c408696
hex26e1ca60

652331616 has 96 divisors (see below), whose sum is σ = 1823199840. Its totient is φ = 203513856.

The previous prime is 652331593. The next prime is 652331639. The reversal of 652331616 is 616133256.

It is an interprime number because it is at equal distance from previous prime (652331593) and next prime (652331639).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 320490 + ... + 322518.

It is an arithmetic number, because the mean of its divisors is an integer number (18991665).

Almost surely, 2652331616 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 652331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911599920).

652331616 is an abundant number, since it is smaller than the sum of its proper divisors (1170868224).

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

652331616 is a wasteful number, since it uses less digits than its factorization.

652331616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2248 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 652331616 is about 25540.7833865761. The cubic root of 652331616 is about 867.2736318837.

The spelling of 652331616 in words is "six hundred fifty-two million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 197 204 272 394 408 544 591 788 816 1182 1576 1632 2029 2364 3152 3349 4058 4728 6087 6304 6698 8116 9456 10047 12174 13396 16232 18912 20094 24348 26792 32464 34493 40188 48696 53584 64928 68986 80376 97392 103479 107168 137972 160752 194784 206958 275944 321504 399713 413916 551888 799426 827832 1103776 1199139 1598852 1655664 2398278 3197704 3311328 4796556 6395408 6795121 9593112 12790816 13590242 19186224 20385363 27180484 38372448 40770726 54360968 81541452 108721936 163082904 217443872 326165808 652331616