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48645680 = 2454114831
BaseRepresentation
bin1011100110010…
…0011000110000
310101112110022212
42321210120300
544423130210
64454351252
71130324066
oct271443060
9111473285
1048645680
1125506246
121435b528
13a102b35
146664036
15440d805
hex2e64630

48645680 has 40 divisors (see below), whose sum is σ = 115867584. Its totient is φ = 18982400.

The previous prime is 48645659. The next prime is 48645703. The reversal of 48645680 is 8654684.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (41).

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 7 ways as a sum of consecutive naturals, for example, 4136 + ... + 10695.

Almost surely, 248645680 is an apocalyptic number.

48645680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48645680 is an abundant number, since it is smaller than the sum of its proper divisors (67221904).

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

48645680 is a wasteful number, since it uses less digits than its factorization.

48645680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885 (or 14879 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 48645680 is about 6974.6455107052. The cubic root of 48645680 is about 365.0464193168.

The spelling of 48645680 in words is "forty-eight million, six hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 14831 29662 59324 74155 118648 148310 237296 296620 593240 608071 1186480 1216142 2432284 3040355 4864568 6080710 9729136 12161420 24322840 48645680