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48243564 = 223231139311
BaseRepresentation
bin1011100000001…
…0001101101100
310100210000201200
42320002031230
544322243224
64442005500
71124030535
oct270021554
9110700650
1048243564
1125261116
12141a6890
139cc1ab5
14659b68c
15437e5c9
hex2e0236c

48243564 has 72 divisors (see below), whose sum is σ = 127196160. Its totient is φ = 15400800.

The previous prime is 48243563. The next prime is 48243571. The reversal of 48243564 is 46534284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48243563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 154969 + ... + 155279.

Almost surely, 248243564 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 48243564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63598080).

48243564 is an abundant number, since it is smaller than the sum of its proper divisors (78952596).

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

48243564 is a wasteful number, since it uses less digits than its factorization.

48243564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 486 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 48243564 is about 6945.7587058578. The cubic root of 48243564 is about 364.0377833822.

The spelling of 48243564 in words is "forty-eight million, two hundred forty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 139 186 278 279 311 372 417 556 558 622 834 933 1116 1244 1251 1668 1866 2502 2799 3732 4309 5004 5598 8618 9641 11196 12927 17236 19282 25854 28923 38564 38781 43229 51708 57846 77562 86458 86769 115692 129687 155124 172916 173538 259374 347076 389061 518748 778122 1340099 1556244 2680198 4020297 5360396 8040594 12060891 16081188 24121782 48243564