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42366948 = 2231331607
BaseRepresentation
bin1010000110011…
…1011111100100
32221201110112020
42201213133210
541321220243
64112023140
71023053541
oct241473744
987643466
1042366948
1121a07a08
1212231ab0
138a15000
1458abbc8
153abd283
hex28677e4

42366948 has 48 divisors (see below), whose sum is σ = 107157120. Its totient is φ = 13027872.

The previous prime is 42366931. The next prime is 42366949. The reversal of 42366948 is 84966324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42366949) 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, 25561 + ... + 27167.

It is an arithmetic number, because the mean of its divisors is an integer number (2232440).

Almost surely, 242366948 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 42366948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53578560).

42366948 is an abundant number, since it is smaller than the sum of its proper divisors (64790172).

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

42366948 is a wasteful number, since it uses less digits than its factorization.

42366948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1625 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 42366948 is about 6508.9897833688. The cubic root of 42366948 is about 348.6120488296.

The spelling of 42366948 in words is "forty-two million, three hundred sixty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1607 2028 2197 3214 4394 4821 6428 6591 8788 9642 13182 19284 20891 26364 41782 62673 83564 125346 250692 271583 543166 814749 1086332 1629498 3258996 3530579 7061158 10591737 14122316 21183474 42366948