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42936704 = 272943269
BaseRepresentation
bin1010001111001…
…0100110000000
32222210102002022
42203302212000
541442433304
64132141012
71030645616
oct243624600
988712068
1042936704
1122266a88
1212467768
138b84445
1459b96b6
153b81ebe
hex28f2980

42936704 has 64 divisors (see below), whose sum is σ = 90882000. Its totient is φ = 20170752.

The previous prime is 42936703. The next prime is 42936721. The reversal of 42936704 is 40763924.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42936701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159482 + ... + 159750.

Almost surely, 242936704 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 42936704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45441000).

42936704 is an abundant number, since it is smaller than the sum of its proper divisors (47945296).

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

42936704 is a wasteful number, since it uses less digits than its factorization.

42936704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 42936704 is about 6552.6104721706. The cubic root of 42936704 is about 350.1678215592.

The spelling of 42936704 in words is "forty-two million, nine hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 128 172 232 269 344 464 538 688 928 1076 1247 1376 1856 2152 2494 2752 3712 4304 4988 5504 7801 8608 9976 11567 15602 17216 19952 23134 31204 34432 39904 46268 62408 79808 92536 124816 159616 185072 249632 335443 370144 499264 670886 740288 998528 1341772 1480576 2683544 5367088 10734176 21468352 42936704