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49384192 = 2811131971
BaseRepresentation
bin1011110001100…
…0101100000000
310102220222101011
42330120230000
5100120243232
64522250304
71136521144
oct274305400
9112828334
1049384192
1125970090
1214656994
13a301020
1467b7224
154507547
hex2f18b00

49384192 has 144 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 19353600.

The previous prime is 49384183. The next prime is 49384199. The reversal of 49384192 is 29148394.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49384199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695517 + ... + 695587.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 249384192 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 49384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

49384192 is an abundant number, since it is smaller than the sum of its proper divisors (74236928).

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

49384192 is a wasteful number, since it uses less digits than its factorization.

49384192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 49384192 is about 7027.3887042059. The cubic root of 49384192 is about 366.8844605075.

The spelling of 49384192 in words is "forty-nine million, three hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 71 76 88 104 128 142 143 152 176 208 209 247 256 284 286 304 352 416 418 494 568 572 608 704 781 832 836 923 988 1136 1144 1216 1349 1408 1562 1664 1672 1846 1976 2272 2288 2432 2698 2717 2816 3124 3328 3344 3692 3952 4544 4576 4864 5396 5434 6248 6688 7384 7904 9088 9152 10153 10792 10868 12496 13376 14768 14839 15808 17537 18176 18304 20306 21584 21736 24992 26752 29536 29678 31616 35074 36608 40612 43168 43472 49984 53504 59072 59356 63232 70148 81224 86336 86944 99968 118144 118712 140296 162448 172672 173888 192907 199936 236288 237424 280592 324896 345344 347776 385814 474848 561184 649792 695552 771628 949696 1122368 1299584 1543256 1899392 2244736 2599168 3086512 3798784 4489472 6173024 12346048 24692096 49384192