Search a number
-
+
5004937224 = 2332721783449
BaseRepresentation
bin1001010100101000…
…10100100000001000
3110220210200011011100
410222110110200020
540222230442344
62144345101400
7235012156500
oct45224244010
913823604140
105004937224
11213917a461
12b78187860
13619b99c21
143569c8a00
151e45ce569
hex12a514808

5004937224 has 144 divisors (see below), whose sum is σ = 16695841500. Its totient is φ = 1345849344.

The previous prime is 5004937219. The next prime is 5004937243. The reversal of 5004937224 is 4227394005.

It can be written as a sum of positive squares in 2 ways, for example, as 4972788324 + 32148900 = 70518^2 + 5670^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18252 + ... + 101700.

Almost surely, 25004937224 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 5004937224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347920750).

5004937224 is an abundant number, since it is smaller than the sum of its proper divisors (11690904276).

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

5004937224 is a wasteful number, since it uses less digits than its factorization.

5004937224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83492 (or 83478 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5004937224 is about 70745.5809503322. The cubic root of 5004937224 is about 1710.5385971408.

The spelling of 5004937224 in words is "five billion, four million, nine hundred thirty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2499 2856 3332 3528 4284 4998 6664 7497 8568 9996 14994 19992 29988 59976 83449 166898 250347 333796 500694 584143 667592 751041 1001388 1168286 1418633 1502082 1752429 2002776 2336572 2837266 3004164 3504858 4089001 4255899 4673144 5257287 5674532 6008328 7009716 8178002 8511798 9930431 10514574 11349064 12267003 12767697 14019432 16356004 17023596 19860862 21029148 24534006 25535394 29791293 32712008 34047192 36801009 39721724 42058296 49068012 51070788 59582586 69513017 73602018 79443448 89373879 98136024 102141576 119165172 139026034 147204036 178747758 208539051 238330344 278052068 294408072 357495516 417078102 556104136 625617153 714991032 834156204 1251234306 1668312408 2502468612 5004937224