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442474660 = 225198314029
BaseRepresentation
bin11010010111111…
…010000010100100
31010211121001010101
4122113322002210
51401233142120
6111523433444
713651654405
oct3227720244
91124531111
10442474660
11207846841
12104225884
1370893634
1442a9d9ac
1528ca390a
hex1a5fa0a4

442474660 has 48 divisors (see below), whose sum is σ = 989956800. Its totient is φ = 165642624.

The previous prime is 442474631. The next prime is 442474699. The reversal of 442474660 is 66474244.

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, 24526 + ... + 38554.

It is an arithmetic number, because the mean of its divisors is an integer number (20624100).

Almost surely, 2442474660 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 442474660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494978400).

442474660 is an abundant number, since it is smaller than the sum of its proper divisors (547482140).

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

442474660 is a wasteful number, since it uses less digits than its factorization.

442474660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140 (or 14138 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The square root of 442474660 is about 21035.0816494731. The cubic root of 442474660 is about 762.0137385205.

The spelling of 442474660 in words is "four hundred forty-two million, four hundred seventy-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 83 95 166 190 332 380 415 830 1577 1660 3154 6308 7885 14029 15770 28058 31540 56116 70145 140290 266551 280580 533102 1066204 1164407 1332755 2328814 2665510 4657628 5331020 5822035 11644070 22123733 23288140 44247466 88494932 110618665 221237330 442474660