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48015456 = 253539437
BaseRepresentation
bin1011011100101…
…0100001100000
310100100102211020
42313022201200
544242443311
64433045440
71122060516
oct267124140
9110312736
1048015456
11251157a5
12140b6880
139c42018
14653c4b6
154336c06
hex2dca860

48015456 has 48 divisors (see below), whose sum is σ = 128432304. Its totient is φ = 15701504.

The previous prime is 48015419. The next prime is 48015493. The reversal of 48015456 is 65451084.

It is an interprime number because it is at equal distance from previous prime (48015419) and next prime (48015493).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 370 + ... + 9806.

It is an arithmetic number, because the mean of its divisors is an integer number (2675673).

Almost surely, 248015456 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 48015456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64216152).

48015456 is an abundant number, since it is smaller than the sum of its proper divisors (80416848).

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

48015456 is a wasteful number, since it uses less digits than its factorization.

48015456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 48015456 is about 6929.3185812171. The cubic root of 48015456 is about 363.4631219024.

The spelling of 48015456 in words is "forty-eight million, fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 9437 18874 28311 37748 56622 75496 113244 150992 226488 301984 452976 500161 905952 1000322 1500483 2000644 3000966 4001288 6001932 8002576 12003864 16005152 24007728 48015456