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39157152 = 253894583
BaseRepresentation
bin1001010101011…
…1110110100000
32201200101111220
42111113312200
540011012102
63515135040
7653554536
oct225276640
981611456
1039157152
1120115391
1211144480
138160018
1452b4156
1536871bc
hex2557da0

39157152 has 48 divisors (see below), whose sum is σ = 103965120. Its totient is φ = 12902912.

The previous prime is 39157147. The next prime is 39157177. The reversal of 39157152 is 25175193.

39157152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×391571522 = 3066565105502208, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6253 + ... + 10835.

It is an arithmetic number, because the mean of its divisors is an integer number (2165940).

Almost surely, 239157152 is an apocalyptic number.

39157152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39157152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51982560).

39157152 is an abundant number, since it is smaller than the sum of its proper divisors (64807968).

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

39157152 is a wasteful number, since it uses less digits than its factorization.

39157152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4677 counting only the distinct ones).

The product of its digits is 9450, while the sum is 33.

The square root of 39157152 is about 6257.5675785404. The cubic root of 39157152 is about 339.5760344131.

The spelling of 39157152 in words is "thirty-nine million, one hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 4583 8544 9166 13749 18332 27498 36664 54996 73328 109992 146656 219984 407887 439968 815774 1223661 1631548 2447322 3263096 4894644 6526192 9789288 13052384 19578576 39157152