Search a number
-
+
125532384 = 2531996571
BaseRepresentation
bin1110111101101…
…11100011100000
322202012201001120
413132313203200
5224114014014
620242332240
73053002425
oct736674340
9282181046
10125532384
116495037a
123605a080
1320013123
1412959d4c
15b049ba9
hex77b78e0

125532384 has 48 divisors (see below), whose sum is σ = 331228800. Its totient is φ = 41627520.

The previous prime is 125532377. The next prime is 125532391. The reversal of 125532384 is 483235521.

It is an interprime number because it is at equal distance from previous prime (125532377) and next prime (125532391).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15819 + ... + 22389.

It is an arithmetic number, because the mean of its divisors is an integer number (6900600).

Almost surely, 2125532384 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 125532384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165614400).

125532384 is an abundant number, since it is smaller than the sum of its proper divisors (205696416).

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

125532384 is a wasteful number, since it uses less digits than its factorization.

125532384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6775 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 125532384 is about 11204.1235266307. The cubic root of 125532384 is about 500.7088399503.

The spelling of 125532384 in words is "one hundred twenty-five million, five hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4776 6368 6571 9552 13142 19104 19713 26284 39426 52568 78852 105136 157704 210272 315408 630816 1307629 2615258 3922887 5230516 7845774 10461032 15691548 20922064 31383096 41844128 62766192 125532384