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48805368 = 23317375361
BaseRepresentation
bin1011101000101…
…1010111111000
310101211120101020
42322023113320
544443232433
64502022440
71131560463
oct272132770
9111746336
1048805368
1125605217
1214417a20
13a15a721
1466a62da
154440cb3
hex2e8b5f8

48805368 has 128 divisors (see below), whose sum is σ = 137401920. Its totient is φ = 14376960.

The previous prime is 48805363. The next prime is 48805381. The reversal of 48805368 is 86350884.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

48805368 is a modest number, since divided by 5368 gives 4880 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48805363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800058 + ... + 800118.

Almost surely, 248805368 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 48805368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68700960).

48805368 is an abundant number, since it is smaller than the sum of its proper divisors (88596552).

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

48805368 is a wasteful number, since it uses less digits than its factorization.

48805368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 48805368 is about 6986.0838815462. The cubic root of 48805368 is about 365.4454260558.

The spelling of 48805368 in words is "forty-eight million, eight hundred five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 53 61 68 74 102 106 111 122 136 148 159 183 204 212 222 244 296 318 366 408 424 444 488 629 636 732 888 901 1037 1258 1272 1464 1802 1887 1961 2074 2257 2516 2703 3111 3233 3604 3774 3922 4148 4514 5032 5406 5883 6222 6466 6771 7208 7548 7844 8296 9028 9699 10812 11766 12444 12932 13542 15096 15688 18056 19398 21624 23532 24888 25864 27084 33337 38369 38796 47064 54168 54961 66674 76738 77592 100011 109922 115107 119621 133348 153476 164883 200022 219844 230214 239242 266696 306952 329766 358863 400044 439688 460428 478484 659532 717726 800088 920856 956968 1319064 1435452 2033557 2870904 4067114 6100671 8134228 12201342 16268456 24402684 48805368