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48088004080 = 2451284146811
BaseRepresentation
bin101100110010010001…
…001011010111110000
311121010100001201022011
4230302101023113300
51241441012112310
634031420452304
73321444201424
oct546221132760
9147110051264
1048088004080
1119437474236
1293a06aa094
1346c48c8cac
142482822b84
1513b6ab778a
hexb3244b5f0

48088004080 has 40 divisors (see below), whose sum is σ = 111815704944. Its totient is φ = 19233292800.

The previous prime is 48088004071. The next prime is 48088004087. The reversal of 48088004080 is 8040088084.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×480880040803 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48088004087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003875 + ... + 1050685.

Almost surely, 248088004080 is an apocalyptic number.

48088004080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48088004080 is an abundant number, since it is smaller than the sum of its proper divisors (63727700864).

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

48088004080 is a wasteful number, since it uses less digits than its factorization.

48088004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59665 (or 59659 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 48088004080 in words is "forty-eight billion, eighty-eight million, four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12841 25682 46811 51364 64205 93622 102728 128410 187244 205456 234055 256820 374488 468110 513640 748976 936220 1027280 1872440 3744880 601100051 1202200102 2404400204 3005500255 4808800408 6011000510 9617600816 12022001020 24044002040 48088004080