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39929364 = 22323137967
BaseRepresentation
bin1001100001010…
…0011000010100
32210010121210100
42120110120110
540210214424
63543454100
7663252066
oct230243024
983117710
1039929364
11205a2582
1211457330
138370657
145435736
15378adc9
hex2614614

39929364 has 72 divisors (see below), whose sum is σ = 107115008. Its totient is φ = 12519360.

The previous prime is 39929363. The next prime is 39929369. The reversal of 39929364 is 46392993.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39929363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40809 + ... + 41775.

Almost surely, 239929364 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 39929364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53557504).

39929364 is an abundant number, since it is smaller than the sum of its proper divisors (67185644).

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

39929364 is a wasteful number, since it uses less digits than its factorization.

39929364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1040 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 39929364 is about 6318.9685867236. The cubic root of 39929364 is about 341.7937609530.

Subtracting from 39929364 its product of digits (314928), we obtain a square (39614436 = 62942).

The spelling of 39929364 in words is "thirty-nine million, nine hundred twenty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 967 1116 1147 1332 1934 2294 2901 3441 3868 4588 5802 6882 8703 10323 11604 13764 17406 20646 29977 34812 35779 41292 59954 71558 89931 107337 119908 143116 179862 214674 269793 322011 359724 429348 539586 644022 1079172 1109149 1288044 2218298 3327447 4436596 6654894 9982341 13309788 19964682 39929364