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48128696 = 23711234379
BaseRepresentation
bin1011011110011…
…0001010111000
310100120012011022
42313212022320
544310104241
64435322012
71123041620
oct267461270
9110505138
1048128696
1125192890
1214150308
139c81725
14656b880
15435a54b
hex2de62b8

48128696 has 128 divisors (see below), whose sum is σ = 121651200. Its totient is φ = 17297280.

The previous prime is 48128693. The next prime is 48128723. The reversal of 48128696 is 69682184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48128693) 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, 609185 + ... + 609263.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 248128696 is an apocalyptic number.

48128696 is a gapful number since it is divisible by the number (46) 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 48128696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60825600).

48128696 is an abundant number, since it is smaller than the sum of its proper divisors (73522504).

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

48128696 is a wasteful number, since it uses less digits than its factorization.

48128696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 48128696 is about 6937.4848468303. The cubic root of 48128696 is about 363.7486289277.

The spelling of 48128696 in words is "forty-eight million, one hundred twenty-eight thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 43 44 46 56 77 79 86 88 92 154 158 161 172 184 253 301 308 316 322 344 473 506 553 602 616 632 644 869 946 989 1012 1106 1204 1288 1738 1771 1817 1892 1978 2024 2212 2408 3311 3397 3476 3542 3634 3784 3956 4424 6083 6622 6794 6923 6952 7084 7268 7912 10879 12166 12719 13244 13588 13846 14168 14536 19987 21758 23779 24332 25438 26488 27176 27692 37367 39974 43516 47558 48664 50876 55384 74734 76153 78131 79948 87032 95116 101752 139909 149468 152306 156262 159896 190232 261569 279818 298936 304612 312524 523138 546917 559636 609224 625048 859441 1046276 1093834 1119272 1718882 2092552 2187668 3437764 4375336 6016087 6875528 12032174 24064348 48128696