Search a number
-
+
39742452 = 22321997599
BaseRepresentation
bin1001011110011…
…0101111110100
32202210010101200
42113212233310
540133224302
63535452500
7661543131
oct227465764
982703350
1039742452
1120485102
1211387130
138306559
1453c7588
15375081c
hex25e6bf4

39742452 has 72 divisors (see below), whose sum is σ = 107016000. Its totient is φ = 12400128.

The previous prime is 39742399. The next prime is 39742453. The reversal of 39742452 is 25424793.

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

Its product of digits (60480) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39742453) 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, 66049 + ... + 66647.

Almost surely, 239742452 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 39742452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53508000).

39742452 is an abundant number, since it is smaller than the sum of its proper divisors (67273548).

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

39742452 is a wasteful number, since it uses less digits than its factorization.

39742452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 39742452 is about 6304.1614827033. The cubic root of 39742452 is about 341.2596068623.

It can be divided in two parts, 397 and 42452, that added together give a square (42849 = 2072).

The spelling of 39742452 in words is "thirty-nine million, seven hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 171 194 228 291 342 388 582 599 684 873 1164 1198 1746 1797 1843 2396 3492 3594 3686 5391 5529 7188 7372 10782 11058 11381 16587 21564 22116 22762 33174 34143 45524 58103 66348 68286 102429 116206 136572 174309 204858 232412 348618 409716 522927 697236 1045854 1103957 2091708 2207914 3311871 4415828 6623742 9935613 13247484 19871226 39742452