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42546372 = 223111572053
BaseRepresentation
bin1010001001001…
…1010011000100
32222001120122120
42202103103010
541342440442
64115525540
71024431621
oct242232304
988046576
1042546372
112201a7a0
12122b98b0
138a7888b
145917348
153b064ec
hex28934c4

42546372 has 48 divisors (see below), whose sum is σ = 109042752. Its totient is φ = 12804480.

The previous prime is 42546367. The next prime is 42546373. The reversal of 42546372 is 27364524.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42546373) 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, 19698 + ... + 21750.

It is an arithmetic number, because the mean of its divisors is an integer number (2271724).

Almost surely, 242546372 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 42546372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54521376).

42546372 is an abundant number, since it is smaller than the sum of its proper divisors (66496380).

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

42546372 is a wasteful number, since it uses less digits than its factorization.

42546372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2226 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 42546372 is about 6522.7580056292. The cubic root of 42546372 is about 349.1034796856.

The spelling of 42546372 in words is "forty-two million, five hundred forty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1727 1884 2053 3454 4106 5181 6159 6908 8212 10362 12318 20724 22583 24636 45166 67749 90332 135498 270996 322321 644642 966963 1289284 1933926 3545531 3867852 7091062 10636593 14182124 21273186 42546372