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48906504 = 2334711063
BaseRepresentation
bin1011101010010…
…0000100001000
310102000201010000
42322210010020
5100010002004
64504123000
71132461363
oct272440410
9112021100
1048906504
11256741a9
1214466460
13a19477a
1466d10da
154460c39
hex2ea4108

48906504 has 80 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 16057440.

The previous prime is 48906503. The next prime is 48906509. The reversal of 48906504 is 40560984.

It is a super-2 number, since 2×489065042 = 4783692267004032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48906503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45477 + ... + 46539.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 248906504 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 48906504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

48906504 is an abundant number, since it is smaller than the sum of its proper divisors (90137016).

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

48906504 is a wasteful number, since it uses less digits than its factorization.

48906504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48906504 is about 6993.3185255642. The cubic root of 48906504 is about 365.6976810146.

The spelling of 48906504 in words is "forty-eight million, nine hundred six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1063 1278 1704 1917 2126 2556 3189 3834 4252 5112 5751 6378 7668 8504 9567 11502 12756 15336 19134 23004 25512 28701 38268 46008 57402 75473 76536 86103 114804 150946 172206 226419 229608 301892 344412 452838 603784 679257 688824 905676 1358514 1811352 2037771 2717028 4075542 5434056 6113313 8151084 12226626 16302168 24453252 48906504