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48771954 = 23272112457
BaseRepresentation
bin1011101000001…
…1001101110010
310101202212112200
42322003031302
544441200304
64501204030
71131361200
oct272031562
9111685480
1048771954
1125592100
1214400616
13a14845a
146698070
154435e39
hex2e83372

48771954 has 108 divisors (see below), whose sum is σ = 135411822. Its totient is φ = 12640320.

The previous prime is 48771907. The next prime is 48771967. The reversal of 48771954 is 45917784.

It is a happy number.

48771954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33350625 + 15421329 = 5775^2 + 3927^2 .

Its product of digits (282240) is a multiple of the sum of its prime divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 106494 + ... + 106950.

Almost surely, 248771954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48771954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67705911).

48771954 is an abundant number, since it is smaller than the sum of its proper divisors (86639868).

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

48771954 is a wasteful number, since it uses less digits than its factorization.

48771954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 48771954 is about 6983.6920035179. The cubic root of 48771954 is about 365.3620077644.

The spelling of 48771954 in words is "forty-eight million, seven hundred seventy-one thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 121 126 147 154 198 231 242 294 363 441 457 462 539 693 726 847 882 914 1078 1089 1371 1386 1617 1694 2178 2541 2742 3199 3234 4113 4851 5027 5082 5929 6398 7623 8226 9597 9702 10054 11858 15081 15246 17787 19194 22393 28791 30162 35189 35574 44786 45243 53361 55297 57582 67179 70378 90486 105567 106722 110594 134358 165891 201537 211134 246323 316701 331782 387079 403074 492646 497673 633402 738969 774158 995346 1161237 1477938 2216907 2322474 2709553 3483711 4433814 5419106 6967422 8128659 16257318 24385977 48771954