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48939072 = 2637132801
BaseRepresentation
bin1011101010110…
…0000001000000
310102002100210020
42322230001000
5100012022242
64504533440
71132655340
oct272540100
9112070706
1048939072
1125696716
1214481280
13a1a6540
1466dcd20
15446a6ec
hex2eac040

48939072 has 112 divisors (see below), whose sum is σ = 159422592. Its totient is φ = 12902400.

The previous prime is 48939067. The next prime is 48939091. The reversal of 48939072 is 27093984.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16072 + ... + 18872.

It is an arithmetic number, because the mean of its divisors is an integer number (1423416).

Almost surely, 248939072 is an apocalyptic number.

48939072 is a gapful number since it is divisible by the number (42) 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 48939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79711296).

48939072 is an abundant number, since it is smaller than the sum of its proper divisors (110483520).

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

48939072 is a wasteful number, since it uses less digits than its factorization.

48939072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 48939072 is about 6995.6466463080. The cubic root of 48939072 is about 365.7788385864.

The spelling of 48939072 in words is "forty-eight million, nine hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2801 2912 4368 5602 5824 8403 8736 11204 16806 17472 19607 22408 33612 36413 39214 44816 58821 67224 72826 78428 89632 109239 117642 134448 145652 156856 179264 218478 235284 254891 268896 291304 313712 436956 470568 509782 537792 582608 627424 764673 873912 941136 1019564 1165216 1254848 1529346 1747824 1882272 2039128 2330432 3058692 3495648 3764544 4078256 6117384 6991296 8156512 12234768 16313024 24469536 48939072