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48080352 = 2531721733
BaseRepresentation
bin1011011101101…
…0010111100000
310100110201211210
42313122113200
544302032402
64434310120
71122450645
oct267322740
9110421753
1048080352
112515a531
1214128340
139c65718
146557dcc
15434b06c
hex2dda5e0

48080352 has 72 divisors (see below), whose sum is σ = 134149176. Its totient is φ = 15075328.

The previous prime is 48080311. The next prime is 48080371. The reversal of 48080352 is 25308084.

It is a super-3 number, since 3×480803523 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26878 + ... + 28610.

It is an arithmetic number, because the mean of its divisors is an integer number (1863183).

Almost surely, 248080352 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 48080352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67074588).

48080352 is an abundant number, since it is smaller than the sum of its proper divisors (86068824).

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

48080352 is a wasteful number, since it uses less digits than its factorization.

48080352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 48080352 is about 6933.9997115662. Note that the first 3 decimals coincide. The cubic root of 48080352 is about 363.6267961725.

The spelling of 48080352 in words is "forty-eight million, eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1733 1734 2312 3466 3468 4624 5199 6932 6936 9248 10398 13864 13872 20796 27728 27744 29461 41592 55456 58922 83184 88383 117844 166368 176766 235688 353532 471376 500837 707064 942752 1001674 1414128 1502511 2003348 2828256 3005022 4006696 6010044 8013392 12020088 16026784 24040176 48080352