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48268848 = 24317149397
BaseRepresentation
bin1011100000100…
…0011000110000
310100211022102010
42320020120300
544324100343
64442322520
71124164335
oct270103060
9110738363
1048268848
1125279111
12141b9440
13a000464
1465a698c
154386d33
hex2e08630

48268848 has 80 divisors (see below), whose sum is σ = 133250400. Its totient is φ = 15003648.

The previous prime is 48268819. The next prime is 48268861. The reversal of 48268848 is 84886284.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 48268797 and 48268806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121386 + ... + 121782.

It is an arithmetic number, because the mean of its divisors is an integer number (1665630).

Almost surely, 248268848 is an apocalyptic number.

48268848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48268848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66625200).

48268848 is an abundant number, since it is smaller than the sum of its proper divisors (84981552).

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

48268848 is a wasteful number, since it uses less digits than its factorization.

48268848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 48268848 is about 6947.5785709843. The cubic root of 48268848 is about 364.1013685395.

The spelling of 48268848 in words is "forty-eight million, two hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 149 204 272 298 397 408 447 596 794 816 894 1191 1192 1588 1788 2382 2384 2533 3176 3576 4764 5066 6352 6749 7152 7599 9528 10132 13498 15198 19056 20247 20264 26996 30396 40494 40528 53992 59153 60792 80988 107984 118306 121584 161976 177459 236612 323952 354918 473224 709836 946448 1005601 1419672 2011202 2839344 3016803 4022404 6033606 8044808 12067212 16089616 24134424 48268848