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42911680 = 265719157
BaseRepresentation
bin1010001110110…
…0011111000000
32222202010202111
42203230133000
541441133210
64131425104
71030512640
oct243543700
988663674
1042911680
112224a1a9
1212455194
138b75c36
1459b0520
153b7988a
hex28ec7c0

42911680 has 56 divisors (see below), whose sum is σ = 116787168. Its totient is φ = 14711808.

The previous prime is 42911651. The next prime is 42911681. The reversal of 42911680 is 8611924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42911681) 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, 7339 + ... + 11818.

Almost surely, 242911680 is an apocalyptic number.

42911680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42911680 is an abundant number, since it is smaller than the sum of its proper divisors (73875488).

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

42911680 is a wasteful number, since it uses less digits than its factorization.

42911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19181 (or 19171 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 42911680 is about 6550.7007258766. The cubic root of 42911680 is about 350.0997810746.

The spelling of 42911680 in words is "forty-two million, nine hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 19157 38314 76628 95785 134099 153256 191570 268198 306512 383140 536396 613024 670495 766280 1072792 1226048 1340990 1532560 2145584 2681980 3065120 4291168 5363960 6130240 8582336 10727920 21455840 42911680