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49712964 = 223717311123
BaseRepresentation
bin1011110110100…
…0111101000100
310110112200100220
42331220331010
5100211303324
64533304340
71142360520
oct275507504
9113480326
1049712964
11260750a4
12147950b0
13a3b7872
146860d80
15456eb79
hex2f68f44

49712964 has 96 divisors (see below), whose sum is σ = 145022976. Its totient is φ = 12925440.

The previous prime is 49712963. The next prime is 49712977. The reversal of 49712964 is 46921794.

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

It is not an unprimeable number, because it can be changed into a prime (49712963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43707 + ... + 44829.

It is an arithmetic number, because the mean of its divisors is an integer number (1510656).

Almost surely, 249712964 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 49712964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72511488).

49712964 is an abundant number, since it is smaller than the sum of its proper divisors (95310012).

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

49712964 is a wasteful number, since it uses less digits than its factorization.

49712964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 49712964 is about 7050.7420886032. The cubic root of 49712964 is about 367.6968300967.

The spelling of 49712964 in words is "forty-nine million, seven hundred twelve thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 357 372 434 476 527 651 714 868 1054 1123 1302 1428 1581 2108 2246 2604 3162 3369 3689 4492 6324 6738 7378 7861 11067 13476 14756 15722 19091 22134 23583 31444 34813 38182 44268 47166 57273 69626 76364 94332 104439 114546 133637 139252 208878 229092 243691 267274 400911 417756 487382 534548 591821 731073 801822 974764 1183642 1462146 1603644 1775463 2367284 2924292 3550926 4142747 7101852 8285494 12428241 16570988 24856482 49712964