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48291552 = 253431601
BaseRepresentation
bin1011100000110…
…1111011100000
310100212110120000
42320031323200
544330312202
64443020000
71124320461
oct270157340
9110773500
1048291552
1125294181
121420a600
13a00a8aa
1465b0d68
15438d91c
hex2e0dee0

48291552 has 120 divisors (see below), whose sum is σ = 146849472. Its totient is φ = 15552000.

The previous prime is 48291517. The next prime is 48291569. The reversal of 48291552 is 25519284.

48291552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 80052 + ... + 80652.

Almost surely, 248291552 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 48291552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73424736).

48291552 is an abundant number, since it is smaller than the sum of its proper divisors (98557920).

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

48291552 is a wasteful number, since it uses less digits than its factorization.

48291552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 637 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 48291552 is about 6949.2123294658. The cubic root of 48291552 is about 364.1584464966.

It can be divided in two parts, 48 and 291552, that added together give a square (291600 = 5402).

The spelling of 48291552 in words is "forty-eight million, two hundred ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 601 648 744 837 864 992 1116 1202 1296 1488 1674 1803 2232 2404 2511 2592 2976 3348 3606 4464 4808 5022 5409 6696 7212 8928 9616 10044 10818 13392 14424 16227 18631 19232 20088 21636 26784 28848 32454 37262 40176 43272 48681 55893 57696 64908 74524 80352 86544 97362 111786 129816 149048 167679 173088 194724 223572 259632 298096 335358 389448 447144 503037 519264 596192 670716 778896 894288 1006074 1341432 1509111 1557792 1788576 2012148 2682864 3018222 4024296 5365728 6036444 8048592 12072888 16097184 24145776 48291552