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48629560 = 2357243577
BaseRepresentation
bin1011100110000…
…0011100111000
310101111122012211
42321200130320
544422121220
64454144504
71130226100
oct271403470
9111448184
1048629560
11254a5121
1214352134
13a0c86b5
14665c200
154408b5a
hex2e60738

48629560 has 96 divisors (see below), whose sum is σ = 130466160. Its totient is φ = 16257024.

The previous prime is 48629543. The next prime is 48629561. The reversal of 48629560 is 6592684.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48629561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83992 + ... + 84568.

Almost surely, 248629560 is an apocalyptic number.

48629560 is a gapful number since it is divisible by the number (40) 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 48629560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65233080).

48629560 is an abundant number, since it is smaller than the sum of its proper divisors (81836600).

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

48629560 is a wasteful number, since it uses less digits than its factorization.

48629560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 48629560 is about 6973.4898006665. The cubic root of 48629560 is about 365.0060923484.

The spelling of 48629560 in words is "forty-eight million, six hundred twenty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 172 196 215 245 280 301 344 392 430 490 577 602 860 980 1154 1204 1505 1720 1960 2107 2308 2408 2885 3010 4039 4214 4616 5770 6020 8078 8428 10535 11540 12040 16156 16856 20195 21070 23080 24811 28273 32312 40390 42140 49622 56546 80780 84280 99244 113092 124055 141365 161560 173677 198488 226184 248110 282730 347354 496220 565460 694708 868385 992440 1130920 1215739 1389416 1736770 2431478 3473540 4862956 6078695 6947080 9725912 12157390 24314780 48629560