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48768972 = 22371930557
BaseRepresentation
bin1011101000001…
…0011111001100
310101202201110020
42322002133030
544441101342
64501142140
71131346410
oct272023714
9111681406
1048768972
112558a93a
12143ba950
13a146ca5
146696d40
1544350ec
hex2e827cc

48768972 has 48 divisors (see below), whose sum is σ = 136899840. Its totient is φ = 13200192.

The previous prime is 48768959. The next prime is 48768989. The reversal of 48768972 is 27986784.

48768972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13683 + ... + 16874.

It is an arithmetic number, because the mean of its divisors is an integer number (2852080).

Almost surely, 248768972 is an apocalyptic number.

48768972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48768972 is an abundant number, since it is smaller than the sum of its proper divisors (88130868).

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

48768972 is a wasteful number, since it uses less digits than its factorization.

48768972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30590 (or 30588 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 48768972 is about 6983.4785028666. The cubic root of 48768972 is about 365.3545613283.

The spelling of 48768972 in words is "forty-eight million, seven hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 30557 61114 91671 122228 183342 213899 366684 427798 580583 641697 855596 1161166 1283394 1741749 2322332 2566788 3483498 4064081 6966996 8128162 12192243 16256324 24384486 48768972