Search a number
-
+
15442092 = 223231101137
BaseRepresentation
bin111010111010…
…000010101100
31002001112120100
4322322002230
512423121332
61310551100
7245153451
oct72720254
932045510
1015442092
118797966
125208490
133278943
14209d828
15155067c
hexeba0ac

15442092 has 72 divisors (see below), whose sum is σ = 40989312. Its totient is φ = 4896000.

The previous prime is 15442087. The next prime is 15442121. The reversal of 15442092 is 29024451.

15442092 is a `hidden beast` number, since 154 + 420 + 92 = 666.

15442092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112648 + ... + 112784.

It is an arithmetic number, because the mean of its divisors is an integer number (569296).

Almost surely, 215442092 is an apocalyptic number.

15442092 is a gapful number since it is divisible by the number (12) 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 15442092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494656).

15442092 is an abundant number, since it is smaller than the sum of its proper divisors (25547220).

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

15442092 is a wasteful number, since it uses less digits than its factorization.

15442092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 15442092 is about 3929.6427318523. The cubic root of 15442092 is about 249.0206592430.

The spelling of 15442092 in words is "fifteen million, four hundred forty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 137 186 202 274 279 303 372 404 411 548 558 606 822 909 1116 1212 1233 1644 1818 2466 3131 3636 4247 4932 6262 8494 9393 12524 12741 13837 16988 18786 25482 27674 28179 37572 38223 41511 50964 55348 56358 76446 83022 112716 124533 152892 166044 249066 428947 498132 857894 1286841 1715788 2573682 3860523 5147364 7721046 15442092