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38542972 = 22132961419
BaseRepresentation
bin1001001100000…
…1111001111100
32200112012000111
42103001321330
534331333342
63454035404
7645416116
oct223017174
980465014
1038542972
111a8359a6
1210aa8b64
137ca65c0
1451943b6
1535b5217
hex24c1e7c

38542972 has 48 divisors (see below), whose sum is σ = 76557600. Its totient is φ = 16853760.

The previous prime is 38542969. The next prime is 38542979. The reversal of 38542972 is 27924583.

38542972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38542979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91779 + ... + 92197.

It is an arithmetic number, because the mean of its divisors is an integer number (1594950).

Almost surely, 238542972 is an apocalyptic number.

It is an amenable number.

38542972 is a deficient number, since it is larger than the sum of its proper divisors (38014628).

38542972 is a wasteful number, since it uses less digits than its factorization.

38542972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 38542972 is about 6208.2986397241. The cubic root of 38542972 is about 337.7912532937.

The spelling of 38542972 in words is "thirty-eight million, five hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 4 13 26 29 52 58 61 116 122 244 377 419 754 793 838 1508 1586 1676 1769 3172 3538 5447 7076 10894 12151 21788 22997 24302 25559 45994 48604 51118 91988 102236 157963 315926 332267 631852 664534 741211 1329068 1482422 2964844 9635743 19271486 38542972