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38421152 = 2571131503
BaseRepresentation
bin1001001010010…
…0001010100000
32200021222220122
42102210022200
534313434102
63451255412
7644401010
oct222441240
980258818
1038421152
111a762420
1210a4a568
137c63013
145161c40
15358e0a2
hex24a42a0

38421152 has 96 divisors (see below), whose sum is σ = 97542144. Its totient is φ = 14457600.

The previous prime is 38421127. The next prime is 38421157. The reversal of 38421152 is 25112483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38421157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76133 + ... + 76635.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 238421152 is an apocalyptic number.

38421152 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 38421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771072).

38421152 is an abundant number, since it is smaller than the sum of its proper divisors (59120992).

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

38421152 is a wasteful number, since it uses less digits than its factorization.

38421152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 38421152 is about 6198.4798136317. The cubic root of 38421152 is about 337.4350001938.

It can be divided in two parts, 3842 and 1152, that added together give a palindrome (4994).

The spelling of 38421152 in words is "thirty-eight million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 503 616 682 868 992 1006 1232 1364 1736 2012 2387 2464 2728 3472 3521 4024 4774 5456 5533 6944 7042 8048 9548 10912 11066 14084 15593 16096 19096 22132 28168 31186 38192 38731 44264 56336 62372 76384 77462 88528 109151 112672 124744 154924 171523 177056 218302 249488 309848 343046 436604 498976 619696 686092 873208 1200661 1239392 1372184 1746416 2401322 2744368 3492832 4802644 5488736 9605288 19210576 38421152