Search a number
-
+
38323152 = 24337192329
BaseRepresentation
bin1001001000110…
…0001111010000
32200010000111000
42102030033100
534302320102
63445222000
7643512210
oct222141720
980100430
1038323152
111a6a582a
1210a01900
137c2a52a
145138240
15357001c
hex248c3d0

38323152 has 320 divisors, whose sum is σ = 142848000. Its totient is φ = 9580032.

The previous prime is 38323127. The next prime is 38323163. The reversal of 38323152 is 25132383.

38323152 is a `hidden beast` number, since 383 + 231 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1321474 + ... + 1321502.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 238323152 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 38323152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

38323152 is an abundant number, since it is smaller than the sum of its proper divisors (104524848).

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

38323152 is a wasteful number, since it uses less digits than its factorization.

38323152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 38323152 is about 6190.5696022256. The cubic root of 38323152 is about 337.1478598730.

The spelling of 38323152 in words is "thirty-eight million, three hundred twenty-three thousand, one hundred fifty-two".