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48625104 = 243111937131
BaseRepresentation
bin1011100101111…
…1010111010000
310101111102002210
42321133113100
544422000404
64454112120
71130210103
oct271372720
9111442083
1048625104
11254a1840
121434b640
13a0c6668
14665a73a
154407689
hex2e5f5d0

48625104 has 160 divisors (see below), whose sum is σ = 149276160. Its totient is φ = 13478400.

The previous prime is 48625103. The next prime is 48625111. The reversal of 48625104 is 40152684.

It is a super-3 number, since 3×486251043 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48625103) 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, 371119 + ... + 371249.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 248625104 is an apocalyptic number.

48625104 is a gapful number since it is divisible by the number (44) 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 48625104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74638080).

48625104 is an abundant number, since it is smaller than the sum of its proper divisors (100651056).

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

48625104 is a wasteful number, since it uses less digits than its factorization.

48625104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 48625104 is about 6973.1702976480. The cubic root of 48625104 is about 364.9949433215.

Adding to 48625104 its reverse (40152684), we get a palindrome (88777788).

The spelling of 48625104 in words is "forty-eight million, six hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 37 38 44 48 57 66 74 76 88 111 114 131 132 148 152 176 209 222 228 262 264 296 304 393 407 418 444 456 524 528 592 627 703 786 814 836 888 912 1048 1221 1254 1406 1441 1572 1628 1672 1776 2096 2109 2442 2489 2508 2812 2882 3144 3256 3344 4218 4323 4847 4884 4978 5016 5624 5764 6288 6512 7467 7733 8436 8646 9694 9768 9956 10032 11248 11528 14541 14934 15466 16872 17292 19388 19536 19912 23056 23199 27379 29082 29868 30932 33744 34584 38776 39824 46398 53317 54758 58164 59736 61864 69168 77552 82137 92093 92796 106634 109516 116328 119472 123728 159951 164274 184186 185592 213268 219032 232656 276279 319902 328548 368372 371184 426536 438064 552558 639804 657096 736744 853072 1013023 1105116 1279608 1314192 1473488 2026046 2210232 2559216 3039069 4052092 4420464 6078138 8104184 12156276 16208368 24312552 48625104