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48764835 = 3457103167
BaseRepresentation
bin1011101000000…
…1011110100011
310101202111210000
42322001132203
544440433320
64501111043
71131331350
oct272013643
9111674700
1048764835
1125587819
12143b8483
13a145142
146695627
154433c90
hex2e817a3

48764835 has 80 divisors (see below), whose sum is σ = 101477376. Its totient is φ = 21943872.

The previous prime is 48764827. The next prime is 48764861. The reversal of 48764835 is 53846784.

48764835 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48764835 - 23 = 48764827 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 291922 + ... + 292088.

Almost surely, 248764835 is an apocalyptic number.

48764835 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48764835 is an abundant number, since it is smaller than the sum of its proper divisors (52712541).

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

48764835 is a wasteful number, since it uses less digits than its factorization.

48764835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 48764835 is about 6983.1822974916. The cubic root of 48764835 is about 365.3442302066.

The spelling of 48764835 in words is "forty-eight million, seven hundred sixty-four thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 103 105 135 167 189 309 315 405 501 515 567 721 835 927 945 1169 1503 1545 2163 2505 2781 2835 3507 3605 4509 4635 5845 6489 7515 8343 10521 10815 13527 13905 17201 17535 19467 22545 31563 32445 41715 51603 52605 58401 67635 86005 94689 97335 120407 154809 157815 258015 292005 361221 464427 473445 602035 774045 1083663 1393281 1806105 2322135 3250989 5418315 6966405 9752967 16254945 48764835