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424191924 = 223313431701
BaseRepresentation
bin11001010010001…
…010011110110100
31002120012011221000
4121102022132310
51332043120144
6110031523300
713340400102
oct3122123664
91076164830
10424191924
111a8499742
12ba089530
1369b61a50
14404a0c72
1527391769
hex1948a7b4

424191924 has 96 divisors (see below), whose sum is σ = 1188794880. Its totient is φ = 130032000.

The previous prime is 424191923. The next prime is 424191931. The reversal of 424191924 is 429191424.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424191923) 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, 604774 + ... + 605474.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2424191924 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 424191924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

424191924 is an abundant number, since it is smaller than the sum of its proper divisors (764602956).

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

424191924 is a wasteful number, since it uses less digits than its factorization.

424191924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 424191924 is about 20595.9200814142. The cubic root of 424191924 is about 751.3704861648.

The spelling of 424191924 in words is "four hundred twenty-four million, one hundred ninety-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 431 468 701 702 862 1293 1402 1404 1724 2103 2586 2804 3879 4206 5172 5603 6309 7758 8412 9113 11206 11637 12618 15516 16809 18226 18927 22412 23274 25236 27339 33618 36452 37854 46548 50427 54678 67236 75708 82017 100854 109356 151281 164034 201708 246051 302131 302562 328068 492102 604262 605124 906393 984204 1208524 1812786 2719179 3625572 3927703 5438358 7855406 8157537 10876716 11783109 15710812 16315074 23566218 32630148 35349327 47132436 70698654 106047981 141397308 212095962 424191924