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49430964 = 223112937349
BaseRepresentation
bin1011110010010…
…0000110110100
310110000100112110
42330210012310
5100123242324
64523251020
71140104412
oct274440664
9113010473
1049430964
11259a2240
1214679a70
13a3193bb
1467ca2b2
154516329
hex2f241b4

49430964 has 96 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 14031360.

The previous prime is 49430939. The next prime is 49430977. The reversal of 49430964 is 46903494.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141462 + ... + 141810.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 249430964 is an apocalyptic number.

49430964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49430964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032000).

49430964 is an abundant number, since it is smaller than the sum of its proper divisors (84633036).

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

49430964 is a wasteful number, since it uses less digits than its factorization.

49430964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 49430964 is about 7030.7157530368. The cubic root of 49430964 is about 367.0002499584. Note that the first 3 decimals are identical.

The spelling of 49430964 in words is "forty-nine million, four hundred thirty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 37 44 58 66 74 87 111 116 132 148 174 222 319 348 349 407 444 638 698 814 957 1047 1073 1221 1276 1396 1628 1914 2094 2146 2442 3219 3828 3839 4188 4292 4884 6438 7678 10121 11517 11803 12876 12913 15356 20242 23034 23606 25826 30363 35409 38739 40484 46068 47212 51652 60726 70818 77478 111331 121452 141636 142043 154956 222662 284086 333993 374477 426129 445324 568172 667986 748954 852258 1123431 1335972 1497908 1704516 2246862 4119247 4493724 8238494 12357741 16476988 24715482 49430964