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49418964 = 22337131499
BaseRepresentation
bin1011110010000…
…1001011010100
310102222202002000
42330201023110
5100122401324
64523115300
71140024420
oct274411324
9112882060
1049418964
1125994221
1214672b30
13a313aba
1467c5b80
1545129c9
hex2f212d4

49418964 has 96 divisors (see below), whose sum is σ = 147840000. Its totient is φ = 13983840.

The previous prime is 49418959. The next prime is 49419011. The reversal of 49418964 is 46981494.

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, 98787 + ... + 99285.

It is an arithmetic number, because the mean of its divisors is an integer number (1540000).

Almost surely, 249418964 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 49418964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73920000).

49418964 is an abundant number, since it is smaller than the sum of its proper divisors (98421036).

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

49418964 is a wasteful number, since it uses less digits than its factorization.

49418964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 49418964 is about 7029.8623030611. The cubic root of 49418964 is about 366.9705495502.

The spelling of 49418964 in words is "forty-nine million, four hundred eighteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 131 189 252 262 378 393 499 524 756 786 917 998 1179 1497 1572 1834 1996 2358 2751 2994 3493 3537 3668 4491 4716 5502 5988 6986 7074 8253 8982 10479 11004 13473 13972 14148 16506 17964 20958 24759 26946 31437 33012 41916 49518 53892 62874 65369 94311 99036 125748 130738 188622 196107 261476 377244 392214 457583 588321 784428 915166 1176642 1372749 1764963 1830332 2353284 2745498 3529926 4118247 5490996 7059852 8236494 12354741 16472988 24709482 49418964