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72448431 = 31110392113
BaseRepresentation
bin1000101000101…
…11100110101111
312001022202120020
410110113212233
5122021322211
611104453223
71536541626
oct424274657
9161282506
1072448431
1137993640
122031a213
13120180c3
14989c6bd
156561306
hex45179af

72448431 has 16 divisors (see below), whose sum is σ = 105530880. Its totient is φ = 43845120.

The previous prime is 72448429. The next prime is 72448487. The reversal of 72448431 is 13484427.

It is not a de Polignac number, because 72448431 - 21 = 72448429 is a prime.

It is a super-2 number, since 2×724484312 = 10497550308723522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72448392 and 72448401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72448231) 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, 33231 + ... + 35343.

It is an arithmetic number, because the mean of its divisors is an integer number (6595680).

Almost surely, 272448431 is an apocalyptic number.

72448431 is a deficient number, since it is larger than the sum of its proper divisors (33082449).

72448431 is a wasteful number, since it uses less digits than its factorization.

72448431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166.

The product of its digits is 21504, while the sum is 33.

The square root of 72448431 is about 8511.6644083281. The cubic root of 72448431 is about 416.8786574233.

The spelling of 72448431 in words is "seventy-two million, four hundred forty-eight thousand, four hundred thirty-one".

Divisors: 1 3 11 33 1039 2113 3117 6339 11429 23243 34287 69729 2195407 6586221 24149477 72448431