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48928080 = 2435239853
BaseRepresentation
bin1011101010100…
…1010101010000
310102001210201010
42322221111100
5100011144310
64504410520
71132611315
oct272512520
9112053633
1048928080
1125689433
1214476a40
13a1a1536
1466d8d0c
154467320
hex2ea9550

48928080 has 80 divisors (see below), whose sum is σ = 152490240. Its totient is φ = 12977664.

The previous prime is 48928079. The next prime is 48928093. The reversal of 48928080 is 8082984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56934 + ... + 57786.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 248928080 is an apocalyptic number.

48928080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76245120).

48928080 is an abundant number, since it is smaller than the sum of its proper divisors (103562160).

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

48928080 is a wasteful number, since it uses less digits than its factorization.

48928080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 48928080 is about 6994.8609707413. The cubic root of 48928080 is about 365.7514511848.

Subtracting from 48928080 its product of nonzero digits (36864), we obtain a triangular number (48891216 = T9888).

The spelling of 48928080 in words is "forty-eight million, nine hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 853 956 1195 1434 1706 1912 2390 2559 2868 3412 3585 3824 4265 4780 5118 5736 6824 7170 8530 9560 10236 11472 12795 13648 14340 17060 19120 20472 25590 28680 34120 40944 51180 57360 68240 102360 203867 204720 407734 611601 815468 1019335 1223202 1630936 2038670 2446404 3058005 3261872 4077340 4892808 6116010 8154680 9785616 12232020 16309360 24464040 48928080