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190124844 = 223713434049
BaseRepresentation
bin10110101010100…
…01001100101100
3111020202100020220
423111101030230
5342132443334
630511011340
74466014560
oct1325211454
9436670226
10190124844
1198358678
1253809b50
133050a510
141b3716a0
1511a58449
hexb55132c

190124844 has 96 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 48964608.

The previous prime is 190124843. The next prime is 190124929. The reversal of 190124844 is 448421091.

It is a super-2 number, since 2×1901248442 = 72294912612048672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190124843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44932 + ... + 48980.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2190124844 is an apocalyptic number.

190124844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190124844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

190124844 is an abundant number, since it is smaller than the sum of its proper divisors (368710356).

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

190124844 is a wasteful number, since it uses less digits than its factorization.

190124844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 190124844 is about 13788.5765762823. The cubic root of 190124844 is about 575.0155952922.

The spelling of 190124844 in words is "one hundred ninety million, one hundred twenty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 903 1092 1118 1204 1677 1806 2236 3354 3612 3913 4049 6708 7826 8098 11739 12147 15652 16196 23478 24294 28343 46956 48588 52637 56686 85029 105274 113372 157911 170058 174107 210548 315822 340116 348214 368459 522321 631644 696428 736918 1044642 1105377 1218749 1473836 2089284 2210754 2263391 2437498 3656247 4421508 4526782 4874996 6790173 7312494 9053564 13580346 14624988 15843737 27160692 31687474 47531211 63374948 95062422 190124844