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42972963 = 3117118341
BaseRepresentation
bin1010001111101…
…1011100100011
32222212020211020
42203323130203
542000113323
64133020523
71031156415
oct243733443
988766736
1042972963
1122291250
1212484743
138b97ab7
1459c89b5
153b8cae3
hex28fb723

42972963 has 16 divisors (see below), whose sum is σ = 63389952. Its totient is φ = 25676000.

The previous prime is 42972959. The next prime is 42972967. The reversal of 42972963 is 36927924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42972959) and next prime (42972967).

It is a cyclic number.

It is not a de Polignac number, because 42972963 - 22 = 42972959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42972967) 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, 6828 + ... + 11513.

It is an arithmetic number, because the mean of its divisors is an integer number (3961872).

Almost surely, 242972963 is an apocalyptic number.

42972963 is a deficient number, since it is larger than the sum of its proper divisors (20416989).

42972963 is a wasteful number, since it uses less digits than its factorization.

42972963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18426.

The product of its digits is 163296, while the sum is 42.

The square root of 42972963 is about 6555.3766482179. The cubic root of 42972963 is about 350.2663632225.

It can be divided in two parts, 4297 and 2963, that added together give a triangular number (7260 = T120).

The spelling of 42972963 in words is "forty-two million, nine hundred seventy-two thousand, nine hundred sixty-three".

Divisors: 1 3 11 33 71 213 781 2343 18341 55023 201751 605253 1302211 3906633 14324321 42972963