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48966192 = 243211191627
BaseRepresentation
bin1011101011001…
…0101000110000
310102010201222200
42322302220300
5100013404232
64505303200
71133130402
oct272625060
9112121880
1048966192
1125705030
1214494b00
13a1b59a2
146708b72
15447377c
hex2eb2a30

48966192 has 120 divisors (see below), whose sum is σ = 157460160. Its totient is φ = 14048640.

The previous prime is 48966187. The next prime is 48966199. The reversal of 48966192 is 29166984.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (48966199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29283 + ... + 30909.

It is an arithmetic number, because the mean of its divisors is an integer number (1312168).

Almost surely, 248966192 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 48966192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78730080).

48966192 is an abundant number, since it is smaller than the sum of its proper divisors (108493968).

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

48966192 is a wasteful number, since it uses less digits than its factorization.

48966192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1662 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 48966192 is about 6997.5847261752. The cubic root of 48966192 is about 365.8463925868.

The spelling of 48966192 in words is "forty-eight million, nine hundred sixty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1627 1672 1881 2508 2736 3254 3344 3762 4881 5016 6508 7524 9762 10032 13016 14643 15048 17897 19524 26032 29286 30096 30913 35794 39048 53691 58572 61826 71588 78096 92739 107382 117144 123652 143176 161073 185478 214764 234288 247304 278217 286352 322146 340043 370956 429528 494608 556434 644292 680086 741912 859056 1020129 1112868 1288584 1360172 1483824 2040258 2225736 2577168 2720344 3060387 4080516 4451472 5440688 6120774 8161032 12241548 16322064 24483096 48966192