Search a number
-
+
46494924 = 22372107739
BaseRepresentation
bin1011000101011…
…1010011001100
310020111012001020
42301113103030
543400314144
64340314140
71103125500
oct261272314
9106435036
1046494924
1124277363
12136a2950
13982bbb8
146264300
154136419
hex2c574cc

46494924 has 72 divisors (see below), whose sum is σ = 127552320. Its totient is φ = 13142304.

The previous prime is 46494907. The next prime is 46494953. The reversal of 46494924 is 42949464.

46494924 = 9502 + 9512 + ... + 9982.

46494924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 62547 + ... + 63285.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 246494924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46494924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63776160).

46494924 is an abundant number, since it is smaller than the sum of its proper divisors (81057396).

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

46494924 is a wasteful number, since it uses less digits than its factorization.

46494924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 46494924 is about 6818.7186479573. The cubic root of 46494924 is about 359.5852321925.

The spelling of 46494924 in words is "forty-six million, four hundred ninety-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 428 588 642 739 749 1284 1478 1498 2217 2247 2956 2996 4434 4494 5173 5243 8868 8988 10346 10486 15519 15729 20692 20972 31038 31458 36211 62076 62916 72422 79073 108633 144844 158146 217266 237219 316292 434532 474438 553511 948876 1107022 1660533 2214044 3321066 3874577 6642132 7749154 11623731 15498308 23247462 46494924