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39124368 = 2432972801
BaseRepresentation
bin1001010100111…
…1110110010000
32201121201112200
42111033312100
540003434433
63514323200
7653360133
oct225176620
981551480
1039124368
11200a2798
1211129500
13814b11a
1452a621a
15367c613
hex254fd90

39124368 has 60 divisors (see below), whose sum is σ = 110662188. Its totient is φ = 12902400.

The previous prime is 39124339. The next prime is 39124399. The reversal of 39124368 is 86342193.

39124368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 20358144 = 4332^2 + 4512^2 .

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

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12568 + ... + 15368.

Almost surely, 239124368 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 39124368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55331094).

39124368 is an abundant number, since it is smaller than the sum of its proper divisors (71537820).

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

39124368 is a wasteful number, since it uses less digits than its factorization.

39124368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2903 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 39124368 is about 6254.9474817939. The cubic root of 39124368 is about 339.4812388819.

The spelling of 39124368 in words is "thirty-nine million, one hundred twenty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 2801 3492 4656 5602 6984 8403 11204 13968 16806 22408 25209 33612 44816 50418 67224 100836 134448 201672 271697 403344 543394 815091 1086788 1630182 2173576 2445273 3260364 4347152 4890546 6520728 9781092 13041456 19562184 39124368