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648072152 = 237132114219
BaseRepresentation
bin100110101000001…
…100101111011000
31200011110110212022
4212220030233120
52311401302102
6144150234012
722026344120
oct4650145730
91604413768
10648072152
11302902222
12161055908
13a435a660
14620dbc80
153bd665a2
hex26a0cbd8

648072152 has 64 divisors (see below), whose sum is σ = 1502995200. Its totient is φ = 255104640.

The previous prime is 648072149. The next prime is 648072163. The reversal of 648072152 is 251270846.

It is a super-2 number, since 2×6480721522 = 839995028395822208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151499 + ... + 155717.

It is an arithmetic number, because the mean of its divisors is an integer number (23484300).

Almost surely, 2648072152 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 648072152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751497600).

648072152 is an abundant number, since it is smaller than the sum of its proper divisors (854923048).

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

648072152 is a wasteful number, since it uses less digits than its factorization.

648072152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 648072152 is about 25457.2612823925. The cubic root of 648072152 is about 865.3818586440.

The spelling of 648072152 in words is "six hundred forty-eight million, seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 211 364 422 728 844 1477 1688 2743 2954 4219 5486 5908 8438 10972 11816 16876 19201 21944 29533 33752 38402 54847 59066 76804 109694 118132 153608 219388 236264 383929 438776 767858 890209 1535716 1780418 3071432 3560836 6231463 7121672 11572717 12462926 23145434 24925852 46290868 49851704 81009019 92581736 162018038 324036076 648072152