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5142744 = 233329821
BaseRepresentation
bin10011100111100011011000
3100200021112000
4103213203120
52304031434
6302121000
761466265
oct23474330
910607460
105142744
1129a2902
121880160
1310b0a59
1497c26c
156b8b99
hex4e78d8

5142744 has 64 divisors (see below), whose sum is σ = 14796000. Its totient is φ = 1653120.

The previous prime is 5142733. The next prime is 5142751. The reversal of 5142744 is 4472415.

5142744 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5854 + ... + 6674.

Almost surely, 25142744 is an apocalyptic number.

5142744 is a gapful number since it is divisible by the number (54) 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 5142744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398000).

5142744 is an abundant number, since it is smaller than the sum of its proper divisors (9653256).

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

5142744 is a wasteful number, since it uses less digits than its factorization.

5142744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 855 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 5142744 is about 2267.7618922629. The cubic root of 5142744 is about 172.6096089771.

It can be divided in two parts, 5142 and 744, that added together give a triangular number (5886 = T108).

The spelling of 5142744 in words is "five million, one hundred forty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 821 1044 1566 1642 2088 2463 3132 3284 4926 6264 6568 7389 9852 14778 19704 22167 23809 29556 44334 47618 59112 71427 88668 95236 142854 177336 190472 214281 285708 428562 571416 642843 857124 1285686 1714248 2571372 5142744