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42715760 = 2453714431
BaseRepresentation
bin1010001011110…
…0101001110000
32222101012000012
42202330221300
541413401020
64123314052
71026035513
oct242745160
988335005
1042715760
1122125a8a
121237b928
138b079c9
14595cd7a
153b3b7c5
hex28bca70

42715760 has 40 divisors (see below), whose sum is σ = 102005376. Its totient is φ = 16623360.

The previous prime is 42715759. The next prime is 42715763. The reversal of 42715760 is 6751724.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42715763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4256 + ... + 10175.

Almost surely, 242715760 is an apocalyptic number.

42715760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42715760 is an abundant number, since it is smaller than the sum of its proper divisors (59289616).

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

42715760 is a wasteful number, since it uses less digits than its factorization.

42715760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14481 (or 14475 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 42715760 is about 6535.7294925662. The cubic root of 42715760 is about 349.5661563274.

The spelling of 42715760 in words is "forty-two million, seven hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 14431 28862 57724 72155 115448 144310 230896 288620 533947 577240 1067894 1154480 2135788 2669735 4271576 5339470 8543152 10678940 21357880 42715760