Search a number
-
+
38497728 = 263434663
BaseRepresentation
bin1001001011011…
…0110111000000
32200102212221210
42102312313000
534323411403
63453050120
7645140163
oct222666700
980385853
1038497728
111a804a05
1210a86940
137c8bb29
145181ada
1535a6b03
hex24b6dc0

38497728 has 56 divisors (see below), whose sum is σ = 104249728. Its totient is φ = 12531456.

The previous prime is 38497721. The next prime is 38497733. The reversal of 38497728 is 82779483.

It is a super-2 number, since 2×384977282 = 2964150122323968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38497721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5925 + ... + 10587.

Almost surely, 238497728 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 38497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52124864).

38497728 is an abundant number, since it is smaller than the sum of its proper divisors (65752000).

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

38497728 is a wasteful number, since it uses less digits than its factorization.

38497728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4711 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 38497728 is about 6204.6537373169. The cubic root of 38497728 is about 337.6590284841.

The spelling of 38497728 in words is "thirty-eight million, four hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 4663 8256 9326 13989 18652 27978 37304 55956 74608 111912 149216 200509 223824 298432 401018 447648 601527 802036 895296 1203054 1604072 2406108 3208144 4812216 6416288 9624432 12832576 19248864 38497728