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48380832 = 2532315419
BaseRepresentation
bin1011100010001…
…1101110100000
310101001000000200
42320203232200
544341141312
64444545200
71125141663
oct270435640
9111030020
1048380832
1125345265
1214252200
13a03c416
1465d56da
1543aa0dc
hex2e23ba0

48380832 has 72 divisors (see below), whose sum is σ = 142047360. Its totient is φ = 15603840.

The previous prime is 48380809. The next prime is 48380879. The reversal of 48380832 is 23808384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6219 + ... + 11637.

It is an arithmetic number, because the mean of its divisors is an integer number (1972880).

Almost surely, 248380832 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 48380832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71023680).

48380832 is an abundant number, since it is smaller than the sum of its proper divisors (93666528).

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

48380832 is a wasteful number, since it uses less digits than its factorization.

48380832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48380832 is about 6955.6331128086. The cubic root of 48380832 is about 364.3827234804.

The spelling of 48380832 in words is "forty-eight million, three hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 5419 8928 10838 16257 21676 32514 43352 48771 65028 86704 97542 130056 167989 173408 195084 260112 335978 390168 503967 520224 671956 780336 1007934 1343912 1511901 1560672 2015868 2687824 3023802 4031736 5375648 6047604 8063472 12095208 16126944 24190416 48380832