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49461216 = 253789827
BaseRepresentation
bin1011110010101…
…1011111100000
310110001220000220
42330223133200
5100130224331
64524043040
71140261540
oct274533740
9113056026
1049461216
1125a12a42
1214693480
13a32a0bc
1467d7320
154520296
hex2f2b7e0

49461216 has 96 divisors (see below), whose sum is σ = 150232320. Its totient is φ = 13956096.

The previous prime is 49461197. The next prime is 49461221. The reversal of 49461216 is 61216494.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59395 + ... + 60221.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 249461216 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 49461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75116160).

49461216 is an abundant number, since it is smaller than the sum of its proper divisors (100771104).

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

49461216 is a wasteful number, since it uses less digits than its factorization.

49461216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 49461216 is about 7032.8668407698. The cubic root of 49461216 is about 367.0751033600.

The spelling of 49461216 in words is "forty-nine million, four hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 827 1068 1246 1424 1654 1869 2136 2481 2492 2848 3308 3738 4272 4962 4984 5789 6616 7476 8544 9924 9968 11578 13232 14952 17367 19848 19936 23156 26464 29904 34734 39696 46312 59808 69468 73603 79392 92624 138936 147206 185248 220809 277872 294412 441618 515221 555744 588824 883236 1030442 1177648 1545663 1766472 2060884 2355296 3091326 3532944 4121768 6182652 7065888 8243536 12365304 16487072 24730608 49461216