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42546540 = 22353791871
BaseRepresentation
bin1010001001001…
…1010101101100
32222001120212210
42202103111230
541342442130
64115530420
71024432251
oct242232554
988046783
1042546540
112201a933
12122b9a10
138a7898a
145917428
153b065b0
hex289356c

42546540 has 48 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 11309760.

The previous prime is 42546533. The next prime is 42546557. The reversal of 42546540 is 4564524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42546498 and 42546507.

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, 21805 + ... + 23675.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 242546540 is an apocalyptic number.

It is an amenable number.

42546540 is an abundant number, since it is smaller than the sum of its proper divisors (76961940).

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

42546540 is a wasteful number, since it uses less digits than its factorization.

42546540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 42546540 is about 6522.7708836046. The cubic root of 42546540 is about 349.1039391788.

The spelling of 42546540 in words is "forty-two million, five hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 379 758 1137 1516 1871 1895 2274 3742 3790 4548 5613 5685 7484 7580 9355 11226 11370 18710 22452 22740 28065 37420 56130 112260 709109 1418218 2127327 2836436 3545545 4254654 7091090 8509308 10636635 14182180 21273270 42546540