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48645840 = 24351711923
BaseRepresentation
bin1011100110010…
…0011011010000
310101112110112210
42321210123100
544423131330
64454352120
71130324415
oct271443320
9111473483
1048645840
1125506381
121435b640
13a102c29
14666410c
15440d8b0
hex2e646d0

48645840 has 80 divisors (see below), whose sum is σ = 159686208. Its totient is φ = 12208128.

The previous prime is 48645829. The next prime is 48645859. The reversal of 48645840 is 4854684.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1882 + ... + 10041.

Almost surely, 248645840 is an apocalyptic number.

48645840 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 48645840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79843104).

48645840 is an abundant number, since it is smaller than the sum of its proper divisors (111040368).

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

48645840 is a wasteful number, since it uses less digits than its factorization.

48645840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11956 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 48645840 is about 6974.6569808127. The cubic root of 48645840 is about 365.0468195398.

The spelling of 48645840 in words is "forty-eight million, six hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 11923 23846 35769 47692 59615 71538 95384 119230 143076 178845 190768 202691 238460 286152 357690 405382 476920 572304 608073 715380 810764 953840 1013455 1216146 1430760 1621528 2026910 2432292 2861520 3040365 3243056 4053820 4864584 6080730 8107640 9729168 12161460 16215280 24322920 48645840