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42978544 = 2471372801
BaseRepresentation
bin1010001111110…
…0110011110000
32222212112110221
42203330303300
542000303134
64133102424
71031211610
oct243746360
988775427
1042978544
1122295464
1212487a14
138b9a4bb
1459caa40
153b8e5b4
hex28fccf0

42978544 has 40 divisors (see below), whose sum is σ = 95895648. Its totient is φ = 18278400.

The previous prime is 42978541. The next prime is 42978547. The reversal of 42978544 is 44587924.

It is an interprime number because it is at equal distance from previous prime (42978541) and next prime (42978547).

It is a self number, because there is not a number n which added to its sum of digits gives 42978544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42978541) 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, 13944 + ... + 16744.

Almost surely, 242978544 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 42978544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47947824).

42978544 is an abundant number, since it is smaller than the sum of its proper divisors (52917104).

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

42978544 is a wasteful number, since it uses less digits than its factorization.

42978544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2947 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 42978544 is about 6555.8023155065. The cubic root of 42978544 is about 350.2815258722.

The spelling of 42978544 in words is "forty-two million, nine hundred seventy-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1918 2192 2801 3836 5602 7672 11204 15344 19607 22408 39214 44816 78428 156856 313712 383737 767474 1534948 2686159 3069896 5372318 6139792 10744636 21489272 42978544