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42972525 = 345221221
BaseRepresentation
bin1010001111101…
…1010101101101
32222212020020000
42203323111231
542000110100
64133014513
71031155221
oct243732555
988766200
1042972525
1122290992
1212484439
138b9783b
1459c8781
153b8c900
hex28fb56d

42972525 has 30 divisors (see below), whose sum is σ = 79603722. Its totient is φ = 22917600.

The previous prime is 42972521. The next prime is 42972529. The reversal of 42972525 is 52527924.

It is a happy number.

42972525 is a `hidden beast` number, since 42 + 97 + 2 + 525 = 666.

It is an interprime number because it is at equal distance from previous prime (42972521) and next prime (42972529).

It can be written as a sum of positive squares in 3 ways, for example, as 11634921 + 31337604 = 3411^2 + 5598^2 .

It is not a de Polignac number, because 42972525 - 22 = 42972521 is a prime.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 42972525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42972521) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8586 + ... + 12635.

Almost surely, 242972525 is an apocalyptic number.

42972525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42972525 is a deficient number, since it is larger than the sum of its proper divisors (36631197).

42972525 is a wasteful number, since it uses less digits than its factorization.

42972525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21243 (or 21229 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 42972525 is about 6555.3432404413. The cubic root of 42972525 is about 350.2651731937.

The spelling of 42972525 in words is "forty-two million, nine hundred seventy-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 21221 63663 106105 190989 318315 530525 572967 954945 1591575 1718901 2864835 4774725 8594505 14324175 42972525