Search a number
-
+
48570084 = 22331313433
BaseRepresentation
bin1011100101000…
…1111011100100
310101101121122000
42321101323210
544413220314
64453005300
71126560513
oct271217344
9111347560
1048570084
1125464472
1214323830
13a0a75c4
14664467a
1543e6209
hex2e51ee4

48570084 has 48 divisors (see below), whose sum is σ = 126920640. Its totient is φ = 16061760.

The previous prime is 48570079. The next prime is 48570097. The reversal of 48570084 is 48007584.

48570084 is a `hidden beast` number, since 4 + 8 + 570 + 0 + 84 = 666.

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 15 ways as a sum of consecutive naturals, for example, 12432 + ... + 15864.

It is an arithmetic number, because the mean of its divisors is an integer number (2644180).

Almost surely, 248570084 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 48570084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63460320).

48570084 is an abundant number, since it is smaller than the sum of its proper divisors (78350556).

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

48570084 is a wasteful number, since it uses less digits than its factorization.

48570084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48570084 is about 6969.2240601088. The cubic root of 48570084 is about 364.8572257006.

Subtracting from 48570084 its reverse (48007584), we obtain a square (562500 = 7502).

The spelling of 48570084 in words is "forty-eight million, five hundred seventy thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3433 3537 4716 6866 7074 10299 13732 14148 20598 30897 41196 61794 92691 123588 185382 370764 449723 899446 1349169 1798892 2698338 4047507 5396676 8095014 12142521 16190028 24285042 48570084