Search a number
-
+
48601020 = 22351324793
BaseRepresentation
bin1011100101100…
…1011110111100
310101110012001210
42321121132330
544420213040
64453404420
71130046636
oct271313674
9111405053
1048601020
1125485736
1214339710
13a0b8700
146651a56
154400480
hex2e597bc

48601020 has 72 divisors (see below), whose sum is σ = 147386736. Its totient is φ = 11960832.

The previous prime is 48601009. The next prime is 48601027. The reversal of 48601020 is 2010684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48601027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7744 + ... + 12536.

It is an arithmetic number, because the mean of its divisors is an integer number (2047038).

Almost surely, 248601020 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 48601020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73693368).

48601020 is an abundant number, since it is smaller than the sum of its proper divisors (98785716).

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

48601020 is a wasteful number, since it uses less digits than its factorization.

48601020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 48601020 is about 6971.4431791416. The cubic root of 48601020 is about 364.9346727396.

The spelling of 48601020 in words is "forty-eight million, six hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 4793 5070 9586 10140 14379 19172 23965 28758 47930 57516 62309 71895 95860 124618 143790 186927 249236 287580 311545 373854 623090 747708 810017 934635 1246180 1620034 1869270 2430051 3240068 3738540 4050085 4860102 8100170 9720204 12150255 16200340 24300510 48601020