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38987536 = 24722232
BaseRepresentation
bin1001010010111…
…0011100010000
32201100202211211
42110232130100
534440100121
63511345504
7652250200
oct224563420
981322754
1038987536
1120009a05
1211082294
138100a63
14526c400
153651ce1
hex252e710

38987536 has 45 divisors (see below), whose sum is σ = 88266951. Its totient is φ = 16634016.

The previous prime is 38987521. The next prime is 38987549. The reversal of 38987536 is 63578983.

The square root of 38987536 is 6244.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38987536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 174721 + ... + 174943.

Almost surely, 238987536 is an apocalyptic number.

38987536 is the 6244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38987536

38987536 is an abundant number, since it is smaller than the sum of its proper divisors (49279415).

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

38987536 is an equidigital number, since it uses as much as digits as its factorization.

38987536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 232 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The cubic root of 38987536 is about 339.0850139057.

Multiplying 38987536 by its sum of digits (49), we get a square (1910389264 = 437082).

38987536 divided by its sum of digits (49) gives a square (795664 = 8922).

The spelling of 38987536 in words is "thirty-eight million, nine hundred eighty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 223 392 446 784 892 1561 1784 3122 3568 6244 10927 12488 21854 24976 43708 49729 87416 99458 174832 198916 348103 397832 696206 795664 1392412 2436721 2784824 4873442 5569648 9746884 19493768 38987536