Search a number
-
+
38628840 = 2335487661
BaseRepresentation
bin1001001101011…
…0110111101000
32200200112210210
42103112313220
534342110330
63455541120
7646224345
oct223266750
980615723
1038628840
111a894468
1210b2a7a0
138006703
1451b77cc
1535d08b0
hex24d6de8

38628840 has 64 divisors (see below), whose sum is σ = 116300160. Its totient is φ = 10264320.

The previous prime is 38628829. The next prime is 38628857. The reversal of 38628840 is 4882683.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58110 + ... + 58770.

It is an arithmetic number, because the mean of its divisors is an integer number (1817190).

Almost surely, 238628840 is an apocalyptic number.

38628840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38628840 is an abundant number, since it is smaller than the sum of its proper divisors (77671320).

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

38628840 is a wasteful number, since it uses less digits than its factorization.

38628840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 38628840 is about 6215.2103745569. The cubic root of 38628840 is about 338.0419167697.

The spelling of 38628840 in words is "thirty-eight million, six hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 487 661 974 1322 1461 1948 1983 2435 2644 2922 3305 3896 3966 4870 5288 5844 6610 7305 7932 9740 9915 11688 13220 14610 15864 19480 19830 26440 29220 39660 58440 79320 321907 643814 965721 1287628 1609535 1931442 2575256 3219070 3862884 4828605 6438140 7725768 9657210 12876280 19314420 38628840