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48285432 = 23321379653
BaseRepresentation
bin1011100000110…
…0011011111000
310100212011011100
42320030123320
544330113212
64442531400
71124263566
oct270143370
9110764140
1048285432
112528a618
1214206b60
13a007b80
1465aca36
15438bbdc
hex2e0c6f8

48285432 has 96 divisors (see below), whose sum is σ = 142833600. Its totient is φ = 14646528.

The previous prime is 48285427. The next prime is 48285439. The reversal of 48285432 is 23458284.

48285432 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 not an unprimeable number, because it can be changed into a prime (48285439) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73618 + ... + 74270.

It is an arithmetic number, because the mean of its divisors is an integer number (1487850).

Almost surely, 248285432 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 48285432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71416800).

48285432 is an abundant number, since it is smaller than the sum of its proper divisors (94548168).

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

48285432 is a wasteful number, since it uses less digits than its factorization.

48285432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 750 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 48285432 is about 6948.7719778390. The cubic root of 48285432 is about 364.1430625509.

The spelling of 48285432 in words is "forty-eight million, two hundred eighty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 316 468 474 632 653 711 936 948 1027 1306 1422 1896 1959 2054 2612 2844 3081 3918 4108 5224 5688 5877 6162 7836 8216 8489 9243 11754 12324 15672 16978 18486 23508 24648 25467 33956 36972 47016 50934 51587 67912 73944 76401 101868 103174 152802 154761 203736 206348 305604 309522 412696 464283 611208 619044 670631 928566 1238088 1341262 1857132 2011893 2682524 3714264 4023786 5365048 6035679 8047572 12071358 16095144 24142716 48285432