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48468504 = 23371032801
BaseRepresentation
bin1011100011100…
…1001000011000
310101012110021210
42320321020120
544401443004
64450503120
71125655410
oct270711030
9111173253
1048468504
11253a5117
1214294aa0
13a0702b6
146619640
1543c6089
hex2e39218

48468504 has 64 divisors (see below), whose sum is σ = 139875840. Its totient is φ = 13708800.

The previous prime is 48468503. The next prime is 48468517. The reversal of 48468504 is 40586484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48468503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15904 + ... + 18704.

It is an arithmetic number, because the mean of its divisors is an integer number (2185560).

Almost surely, 248468504 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 48468504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69937920).

48468504 is an abundant number, since it is smaller than the sum of its proper divisors (91407336).

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

48468504 is a wasteful number, since it uses less digits than its factorization.

48468504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 48468504 is about 6961.9324903363. The cubic root of 48468504 is about 364.6026927218.

The spelling of 48468504 in words is "forty-eight million, four hundred sixty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1236 1442 2163 2472 2801 2884 4326 5602 5768 8403 8652 11204 16806 17304 19607 22408 33612 39214 58821 67224 78428 117642 156856 235284 288503 470568 577006 865509 1154012 1731018 2019521 2308024 3462036 4039042 6058563 6924072 8078084 12117126 16156168 24234252 48468504