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42908640 = 253589393
BaseRepresentation
bin1010001110101…
…1101111100000
32222201222120220
42203223233200
541441034030
64131403040
71030501035
oct243535740
988658526
1042908640
1122247995
1212453480
138b74738
1459ad38c
153b78a10
hex28ebbe0

42908640 has 48 divisors (see below), whose sum is σ = 135163728. Its totient is φ = 11442176.

The previous prime is 42908633. The next prime is 42908647. The reversal of 42908640 is 4680924.

It is an interprime number because it is at equal distance from previous prime (42908633) and next prime (42908647).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42908647) 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, 44217 + ... + 45176.

It is an arithmetic number, because the mean of its divisors is an integer number (2815911).

Almost surely, 242908640 is an apocalyptic number.

42908640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42908640 is an abundant number, since it is smaller than the sum of its proper divisors (92255088).

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

42908640 is a wasteful number, since it uses less digits than its factorization.

42908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89411 (or 89403 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42908640 is about 6550.4686855217. The cubic root of 42908640 is about 350.0915134851.

The spelling of 42908640 in words is "forty-two million, nine hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 89393 178786 268179 357572 446965 536358 715144 893930 1072716 1340895 1430288 1787860 2145432 2681790 2860576 3575720 4290864 5363580 7151440 8581728 10727160 14302880 21454320 42908640