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39290472 = 23321323229
BaseRepresentation
bin1001010111100…
…0011001101000
32201221011101200
42111320121220
540024243342
63522044200
7654651324
oct225703150
981834350
1039290472
11201a6571
12111a9660
1381a8900
14530a984
1536b194c
hex2578668

39290472 has 72 divisors (see below), whose sum is σ = 115262550. Its totient is φ = 12085632.

The previous prime is 39290443. The next prime is 39290473. The reversal of 39290472 is 27409293.

It can be written as a sum of positive squares in 3 ways, for example, as 15729156 + 23561316 = 3966^2 + 4854^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (39290473) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10554 + ... + 13782.

Almost surely, 239290472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39290472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57631275).

39290472 is an abundant number, since it is smaller than the sum of its proper divisors (75972078).

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

39290472 is a wasteful number, since it uses less digits than its factorization.

39290472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 39290472 is about 6268.2112280937. The cubic root of 39290472 is about 339.9609874499.

The spelling of 39290472 in words is "thirty-nine million, two hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 3229 4056 6084 6458 9687 12168 12916 19374 25832 29061 38748 41977 58122 77496 83954 116244 125931 167908 232488 251862 335816 377793 503724 545701 755586 1007448 1091402 1511172 1637103 2182804 3022344 3274206 4365608 4911309 6548412 9822618 13096824 19645236 39290472