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48630840 = 23351273191
BaseRepresentation
bin1011100110000…
…0110000111000
310101111200222020
42321200300320
544422141330
64454154440
71130232606
oct271406070
9111450866
1048630840
11254a6085
1214352a20
13a0c915b
14665c876
154409210
hex2e60c38

48630840 has 64 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 12862080.

The previous prime is 48630833. The next prime is 48630859. The reversal of 48630840 is 4803684.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13645 + ... + 16835.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 248630840 is an apocalyptic number.

48630840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48630840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

48630840 is an abundant number, since it is smaller than the sum of its proper divisors (98456520).

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

48630840 is a wasteful number, since it uses less digits than its factorization.

48630840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48630840 is about 6973.5815762060. The cubic root of 48630840 is about 365.0092948155.

The spelling of 48630840 in words is "forty-eight million, six hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3191 3810 5080 6382 7620 9573 12764 15240 15955 19146 25528 31910 38292 47865 63820 76584 95730 127640 191460 382920 405257 810514 1215771 1621028 2026285 2431542 3242056 4052570 4863084 6078855 8105140 9726168 12157710 16210280 24315420 48630840