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42360756 = 22323314951
BaseRepresentation
bin1010000110010…
…1111110110100
32221201011000220
42201211332310
541321021011
64111534340
71023026514
oct241457664
987634026
1042360756
1121a03299
121222a3b0
138a12249
1458a9844
153abb506
hex2865fb4

42360756 has 48 divisors (see below), whose sum is σ = 106487808. Its totient is φ = 13068000.

The previous prime is 42360751. The next prime is 42360757. The reversal of 42360756 is 65706324.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42360751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6081 + ... + 11031.

It is an arithmetic number, because the mean of its divisors is an integer number (2218496).

Almost surely, 242360756 is an apocalyptic number.

42360756 is a gapful number since it is divisible by the number (46) 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 42360756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53243904).

42360756 is an abundant number, since it is smaller than the sum of its proper divisors (64127052).

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

42360756 is a wasteful number, since it uses less digits than its factorization.

42360756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 42360756 is about 6508.5141161405. The cubic root of 42360756 is about 348.5950645917.

The spelling of 42360756 in words is "forty-two million, three hundred sixty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 4951 8556 9902 14853 19804 29706 59412 113873 153481 227746 306962 341619 455492 460443 613924 683238 920886 1366476 1841772 3530063 7060126 10590189 14120252 21180378 42360756