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49923864 = 233561421
BaseRepresentation
bin1011111001110…
…0011100011000
310110221101200000
42332130130120
5100240030424
64542013000
71144226424
oct276343430
9113841600
1049923864
11261a95a1
1214877160
13a45c863
1468b7b84
1545b23c9
hex2f9c718

49923864 has 96 divisors (see below), whose sum is σ = 142855440. Its totient is φ = 16329600.

The previous prime is 49923859. The next prime is 49923943. The reversal of 49923864 is 46832994.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118374 + ... + 118794.

Almost surely, 249923864 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 49923864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71427720).

49923864 is an abundant number, since it is smaller than the sum of its proper divisors (92931576).

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

49923864 is a wasteful number, since it uses less digits than its factorization.

49923864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 49923864 is about 7065.6821326748. The cubic root of 49923864 is about 368.2160632569.

The spelling of 49923864 in words is "forty-nine million, nine hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 243 244 324 366 421 486 488 549 648 732 842 972 1098 1263 1464 1647 1684 1944 2196 2526 3294 3368 3789 4392 4941 5052 6588 7578 9882 10104 11367 13176 14823 15156 19764 22734 25681 29646 30312 34101 39528 45468 51362 59292 68202 77043 90936 102303 102724 118584 136404 154086 204606 205448 231129 272808 308172 409212 462258 616344 693387 818424 924516 1386774 1849032 2080161 2773548 4160322 5547096 6240483 8320644 12480966 16641288 24961932 49923864