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42219372 = 223131272131
BaseRepresentation
bin1010000100001…
…1011101101100
32221102222002110
42201003131230
541302004442
64104524020
71021600356
oct241033554
987388073
1042219372
1121917048
1212180610
138992aa0
1458700d6
153a8e69c
hex284376c

42219372 has 48 divisors (see below), whose sum is σ = 106975232. Its totient is φ = 12882240.

The previous prime is 42219263. The next prime is 42219377. The reversal of 42219372 is 27391224.

It is not an unprimeable number, because it can be changed into a prime (42219377) 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, 18747 + ... + 20877.

Almost surely, 242219372 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 42219372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53487616).

42219372 is an abundant number, since it is smaller than the sum of its proper divisors (64755860).

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

42219372 is a wasteful number, since it uses less digits than its factorization.

42219372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2276 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 42219372 is about 6497.6435728655. The cubic root of 42219372 is about 348.2068066574.

The spelling of 42219372 in words is "forty-two million, two hundred nineteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1524 1651 2131 3302 4262 4953 6393 6604 8524 9906 12786 19812 25572 27703 55406 83109 110812 166218 270637 332436 541274 811911 1082548 1623822 3247644 3518281 7036562 10554843 14073124 21109686 42219372