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2484020952 = 2333713112541
BaseRepresentation
bin1001010000001111…
…0010011011011000
320102010010100011000
42110003302123120
520041402132302
61050253105000
7115361554410
oct22403623330
96363110130
102484020952
11106518a786
12593a88160
133078262aa
14197c91640
15e812131c
hex940f26d8

2484020952 has 128 divisors (see below), whose sum is σ = 7946611200. Its totient is φ = 704246400.

The previous prime is 2484020951. The next prime is 2484020963. The reversal of 2484020952 is 2590204842.

2484020952 is a `hidden beast` number, since 248 + 402 + 0 + 9 + 5 + 2 = 666.

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 (2484020951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191802 + ... + 204342.

It is an arithmetic number, because the mean of its divisors is an integer number (62082900).

Almost surely, 22484020952 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 2484020952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973305600).

2484020952 is an abundant number, since it is smaller than the sum of its proper divisors (5462590248).

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

2484020952 is a wasteful number, since it uses less digits than its factorization.

2484020952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12694 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2484020952 is about 49839.9533707647. The cubic root of 2484020952 is about 1354.3110383939.

The spelling of 2484020952 in words is "two billion, four hundred eighty-four million, twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 131 168 189 216 252 262 378 393 504 524 756 786 917 1048 1179 1512 1572 1834 2358 2751 3144 3537 3668 4716 5502 7074 7336 8253 9432 11004 12541 14148 16506 22008 24759 25082 28296 33012 37623 49518 50164 66024 75246 87787 99036 100328 112869 150492 175574 198072 225738 263361 300984 338607 351148 451476 526722 677214 702296 790083 902952 1053444 1354428 1580166 1642871 2106888 2370249 2708856 3160332 3285742 4740498 4928613 6320664 6571484 9480996 9857226 11500097 13142968 14785839 18961992 19714452 23000194 29571678 34500291 39428904 44357517 46000388 59143356 69000582 88715034 92000776 103500873 118286712 138001164 177430068 207001746 276002328 310502619 354860136 414003492 621005238 828006984 1242010476 2484020952