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38557428 = 223713173167
BaseRepresentation
bin1001001100010…
…1011011110100
32200112220211220
42103011123310
534332314203
63454230340
7645506220
oct223053364
980486756
1038557428
111a845848
1210ab53b0
137cb0060
145199780
1535b9653
hex24c56f4

38557428 has 192 divisors, whose sum is σ = 122830848. Its totient is φ = 9123840.

The previous prime is 38557357. The next prime is 38557433. The reversal of 38557428 is 82475583.

38557428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (268800) is a multiple of the sum of its prime divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 38557428.

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 63 ways as a sum of consecutive naturals, for example, 575451 + ... + 575517.

It is an arithmetic number, because the mean of its divisors is an integer number (639744).

Almost surely, 238557428 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 38557428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61415424).

38557428 is an abundant number, since it is smaller than the sum of its proper divisors (84273420).

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

38557428 is a wasteful number, since it uses less digits than its factorization.

38557428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 38557428 is about 6209.4627786951. The cubic root of 38557428 is about 337.8334788906.

The spelling of 38557428 in words is "thirty-eight million, five hundred fifty-seven thousand, four hundred twenty-eight".