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38423552 = 210157239
BaseRepresentation
bin1001001010010…
…0110000000000
32200022010012112
42102210300000
534314023202
63451314452
7644411006
oct222446000
980263175
1038423552
111a764202
1210a4ba28
137c6413b
145162a76
15358eb52
hex24a4c00

38423552 has 44 divisors (see below), whose sum is σ = 77622240. Its totient is φ = 19009536.

The previous prime is 38423551. The next prime is 38423591. The reversal of 38423552 is 25532483.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (38423551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160649 + ... + 160887.

Almost surely, 238423552 is an apocalyptic number.

38423552 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 38423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38811120).

38423552 is an abundant number, since it is smaller than the sum of its proper divisors (39198688).

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

38423552 is a wasteful number, since it uses less digits than its factorization.

38423552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 38423552 is about 6198.6734064637. The cubic root of 38423552 is about 337.4420260732.

The spelling of 38423552 in words is "thirty-eight million, four hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 157 239 256 314 478 512 628 956 1024 1256 1912 2512 3824 5024 7648 10048 15296 20096 30592 37523 40192 61184 75046 80384 122368 150092 160768 244736 300184 600368 1200736 2401472 4802944 9605888 19211776 38423552