Search a number
-
+
15142452 = 22313113859
BaseRepresentation
bin111001110000…
…111000110100
31001111022112120
4321300320310
512334024302
61300315540
7242465043
oct71607064
931438476
1015142452
118602826
1250a2bb0
1331a2440
14202255a
1514e19bc
hexe70e34

15142452 has 48 divisors (see below), whose sum is σ = 38431680. Its totient is φ = 4612608.

The previous prime is 15142447. The next prime is 15142499. The reversal of 15142452 is 25424151.

15142452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17199 + ... + 18057.

It is an arithmetic number, because the mean of its divisors is an integer number (800660).

Almost surely, 215142452 is an apocalyptic number.

15142452 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 15142452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215840).

15142452 is an abundant number, since it is smaller than the sum of its proper divisors (23289228).

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

15142452 is a wasteful number, since it uses less digits than its factorization.

15142452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 15142452 is about 3891.3303637702. The cubic root of 15142452 is about 247.3994530875.

The spelling of 15142452 in words is "fifteen million, one hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 339 452 678 859 1356 1469 1718 2577 2938 3436 4407 5154 5876 8814 10308 11167 17628 22334 33501 44668 67002 97067 134004 194134 291201 388268 582402 1164804 1261871 2523742 3785613 5047484 7571226 15142452