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48969792 = 2633171667
BaseRepresentation
bin1011101011001…
…1100001000000
310102010220221000
42322303201000
5100014013132
64505332000
71133144034
oct272634100
9112126830
1048969792
1125707803
1214497000
13a1b7511
14670a1c4
15447487c
hex2eb3840

48969792 has 112 divisors (see below), whose sum is σ = 152521920. Its totient is φ = 15353856.

The previous prime is 48969779. The next prime is 48969841. The reversal of 48969792 is 29796984.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28543 + ... + 30209.

Almost surely, 248969792 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 48969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76260960).

48969792 is an abundant number, since it is smaller than the sum of its proper divisors (103552128).

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

48969792 is a wasteful number, since it uses less digits than its factorization.

48969792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1689 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 48969792 is about 6997.8419530595. The cubic root of 48969792 is about 365.8553580565.

The spelling of 48969792 in words is "forty-eight million, nine hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1667 1728 1836 2448 3264 3334 3672 4896 5001 6668 7344 9792 10002 13336 14688 15003 20004 26672 28339 29376 30006 40008 45009 53344 56678 60012 80016 85017 90018 106688 113356 120024 160032 170034 180036 226712 240048 255051 320064 340068 360072 453424 480096 510102 680136 720144 765153 906848 960192 1020204 1360272 1440288 1530306 1813696 2040408 2720544 2880576 3060612 4080816 5441088 6121224 8161632 12242448 16323264 24484896 48969792