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49925376 = 283331233
BaseRepresentation
bin1011111001110…
…0110100000000
310110221110202000
42332130310000
5100240103001
64542024000
71144234014
oct276346400
9113843660
1049925376
11261aa746
1214878000
13a460457
1468b8544
1545b2a86
hex2f9cd00

49925376 has 144 divisors (see below), whose sum is σ = 153054720. Its totient is φ = 16035840.

The previous prime is 49925353. The next prime is 49925377. The reversal of 49925376 is 67352994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49925377) 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, 214156 + ... + 214388.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 249925376 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 49925376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76527360).

49925376 is an abundant number, since it is smaller than the sum of its proper divisors (103129344).

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

49925376 is a wasteful number, since it uses less digits than its factorization.

49925376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 49925376 is about 7065.7891279035. The cubic root of 49925376 is about 368.2197804977.

The spelling of 49925376 in words is "forty-nine million, nine hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 233 248 256 279 288 372 384 432 466 496 558 576 699 744 768 837 864 932 992 1116 1152 1398 1488 1674 1728 1864 1984 2097 2232 2304 2796 2976 3348 3456 3728 3968 4194 4464 5592 5952 6291 6696 6912 7223 7456 7936 8388 8928 11184 11904 12582 13392 14446 14912 16776 17856 21669 22368 23808 25164 26784 28892 29824 33552 35712 43338 44736 50328 53568 57784 59648 65007 67104 71424 86676 89472 100656 107136 115568 130014 134208 173352 178944 195021 201312 214272 231136 260028 268416 346704 390042 402624 462272 520056 536832 693408 780084 805248 924544 1040112 1386816 1560168 1610496 1849088 2080224 2773632 3120336 4160448 5547264 6240672 8320896 12481344 16641792 24962688 49925376