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48839504 = 24717113227
BaseRepresentation
bin1011101001001…
…1101101010000
310101220022012112
42322103231100
5100000331004
64502444452
71132062140
oct272235520
9111808175
1048839504
112562892a
1214433728
13a17011c
1466b4920
15444ae6e
hex2e93b50

48839504 has 80 divisors (see below), whose sum is σ = 116028288. Its totient is φ = 19439616.

The previous prime is 48839503. The next prime is 48839507. The reversal of 48839504 is 40593884.

48839504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48839503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215039 + ... + 215265.

Almost surely, 248839504 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 48839504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58014144).

48839504 is an abundant number, since it is smaller than the sum of its proper divisors (67188784).

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

48839504 is a wasteful number, since it uses less digits than its factorization.

48839504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 48839504 is about 6988.5265972163. The cubic root of 48839504 is about 365.5306075175.

The spelling of 48839504 in words is "forty-eight million, eight hundred thirty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 113 119 136 226 227 238 272 452 454 476 791 904 908 952 1582 1589 1808 1816 1904 1921 3164 3178 3632 3842 3859 6328 6356 7684 7718 12656 12712 13447 15368 15436 25424 25651 26894 27013 30736 30872 51302 53788 54026 61744 102604 107576 108052 179557 205208 215152 216104 359114 410416 432208 436067 718228 872134 1436456 1744268 2872912 3052469 3488536 6104938 6977072 12209876 24419752 48839504