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648923104 = 25231515839
BaseRepresentation
bin100110101011011…
…100011111100000
31200020001201011001
4212223130133200
52312111014404
6144220401344
722036520044
oct4653343740
91606051131
10648923104
11303333595
121613a6254
13a4597a8b
1462280024
153be837a4
hex26adc7e0

648923104 has 48 divisors (see below), whose sum is σ = 1342172160. Its totient is φ = 308246400.

The previous prime is 648923071. The next prime is 648923141. The reversal of 648923104 is 401329846.

It is a super-2 number, since 2×6489231042 = 842202389809989632, 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 7 ways as a sum of consecutive naturals, for example, 108217 + ... + 114055.

It is an arithmetic number, because the mean of its divisors is an integer number (27961920).

Almost surely, 2648923104 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 648923104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671086080).

648923104 is an abundant number, since it is smaller than the sum of its proper divisors (693249056).

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

648923104 is a wasteful number, since it uses less digits than its factorization.

648923104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 648923104 is about 25473.9691449919. The cubic root of 648923104 is about 865.7604565858.

The spelling of 648923104 in words is "six hundred forty-eight million, nine hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 151 184 302 368 604 736 1208 2416 3473 4832 5839 6946 11678 13892 23356 27784 46712 55568 93424 111136 134297 186848 268594 537188 881689 1074376 1763378 2148752 3526756 4297504 7053512 14107024 20278847 28214048 40557694 81115388 162230776 324461552 648923104