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49264096 = 257172761
BaseRepresentation
bin1011101111101…
…1010111100000
310102200212122011
42323323113200
5100102422341
64515522304
71135511050
oct273732740
9112625564
1049264096
1125898932
12145b9394
13a28b46b
146785560
1544d1b81
hex2efb5e0

49264096 has 72 divisors (see below), whose sum is σ = 117902736. Its totient is φ = 19845120.

The previous prime is 49264087. The next prime is 49264097. The reversal of 49264096 is 69046294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49264097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64356 + ... + 65116.

It is an arithmetic number, because the mean of its divisors is an integer number (1637538).

Almost surely, 249264096 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 49264096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58951368).

49264096 is an abundant number, since it is smaller than the sum of its proper divisors (68638640).

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

49264096 is a wasteful number, since it uses less digits than its factorization.

49264096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 49264096 is about 7018.8386503751. The cubic root of 49264096 is about 366.5868138322.

The spelling of 49264096 in words is "forty-nine million, two hundred sixty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 476 544 578 761 952 1156 1522 1904 2023 2312 3044 3808 4046 4624 5327 6088 8092 9248 10654 12176 12937 16184 21308 24352 25874 32368 42616 51748 64736 85232 90559 103496 170464 181118 206992 219929 362236 413984 439858 724472 879716 1448944 1539503 1759432 2897888 3079006 3518864 6158012 7037728 12316024 24632048 49264096