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48094992 = 24331129349
BaseRepresentation
bin1011011101110…
…1111100010000
310100111110221000
42313131330100
544303014432
64434502000
71122541431
oct267357420
9110443830
1048094992
112516a530
1214134900
139c6c29a
14655d488
15435057c
hex2dddf10

48094992 has 160 divisors (see below), whose sum is σ = 156240000. Its totient is φ = 14031360.

The previous prime is 48094987. The next prime is 48094997. The reversal of 48094992 is 29949084.

It is an interprime number because it is at equal distance from previous prime (48094987) and next prime (48094997).

It is a super-3 number, since 3×480949923 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48094997) 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, 137634 + ... + 137982.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 248094992 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 48094992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120000).

48094992 is an abundant number, since it is smaller than the sum of its proper divisors (108145008).

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

48094992 is a wasteful number, since it uses less digits than its factorization.

48094992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

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

The square root of 48094992 is about 6935.0552989864. The cubic root of 48094992 is about 363.6636993693.

It can be divided in two parts, 4809 and 4992, that added together give a square (9801 = 992).

The spelling of 48094992 in words is "forty-eight million, ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 349 396 432 464 522 528 594 638 696 698 783 792 957 1044 1047 1188 1276 1392 1396 1566 1584 1914 2088 2094 2376 2552 2792 2871 3132 3141 3828 3839 4176 4188 4752 5104 5584 5742 6264 6282 7656 7678 8376 8613 9423 10121 11484 11517 12528 12564 15312 15356 16752 17226 18846 20242 22968 23034 25128 30363 30712 34452 34551 37692 40484 45936 46068 50256 60726 61424 68904 69102 75384 80968 91089 92136 103653 111331 121452 137808 138204 150768 161936 182178 184272 207306 222662 242904 273267 276408 333993 364356 414612 445324 485808 546534 552816 667986 728712 829224 890648 1001979 1093068 1335972 1457424 1658448 1781296 2003958 2186136 2671944 3005937 4007916 4372272 5343888 6011874 8015832 12023748 16031664 24047496 48094992