Search a number
-
+
542874304 = 2672115743
BaseRepresentation
bin100000010110111…
…001101011000000
31101211111212112201
4200112321223000
52102433434204
6125511402544
716311232630
oct4026715300
91354455481
10542874304
11259490555
12131983454
1388616ccb
14521566c0
15329d69a4
hex205b9ac0

542874304 has 56 divisors (see below), whose sum is σ = 1237211648. Its totient is φ = 231517440.

The previous prime is 542874259. The next prime is 542874329. The reversal of 542874304 is 403478245.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91657 + ... + 97399.

Almost surely, 2542874304 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 542874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618605824).

542874304 is an abundant number, since it is smaller than the sum of its proper divisors (694337344).

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

542874304 is a wasteful number, since it uses less digits than its factorization.

542874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The square root of 542874304 is about 23299.6631735311. The cubic root of 542874304 is about 815.7675552200.

The spelling of 542874304 in words is "five hundred forty-two million, eight hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 211 224 422 448 844 1477 1688 2954 3376 5743 5908 6752 11486 11816 13504 22972 23632 40201 45944 47264 80402 91888 94528 160804 183776 321608 367552 643216 1211773 1286432 2423546 2572864 4847092 8482411 9694184 16964822 19388368 33929644 38776736 67859288 77553472 135718576 271437152 542874304