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39720252 = 223111379293
BaseRepresentation
bin1001011110000…
…1010100111100
32202201222221110
42113201110330
540132022002
63535202020
7661421325
oct227412474
982658843
1039720252
112046a460
1211376310
1382c9410
1453bd44c
153748e6c
hex25e153c

39720252 has 96 divisors (see below), whose sum is σ = 110638080. Its totient is φ = 10932480.

The previous prime is 39720179. The next prime is 39720257. The reversal of 39720252 is 25202793.

It is a happy number.

39720252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39720257) 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 31 ways as a sum of consecutive naturals, for example, 135418 + ... + 135710.

It is an arithmetic number, because the mean of its divisors is an integer number (1152480).

Almost surely, 239720252 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 39720252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55319040).

39720252 is an abundant number, since it is smaller than the sum of its proper divisors (70917828).

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

39720252 is a wasteful number, since it uses less digits than its factorization.

39720252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 39720252 is about 6302.4004950495. The cubic root of 39720252 is about 341.1960528710.

The spelling of 39720252 in words is "thirty-nine million, seven hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 79 132 143 156 158 237 286 293 316 429 474 572 586 858 869 879 948 1027 1172 1716 1738 1758 2054 2607 3081 3223 3476 3516 3809 4108 5214 6162 6446 7618 9669 10428 11297 11427 12324 12892 15236 19338 22594 22854 23147 33891 38676 41899 45188 45708 46294 67782 69441 83798 92588 125697 135564 138882 167596 251394 254617 277764 300911 502788 509234 601822 763851 902733 1018468 1203644 1527702 1805466 3055404 3310021 3610932 6620042 9930063 13240084 19860126 39720252