Search a number
-
+
38376078 = 23133159269
BaseRepresentation
bin1001001001100…
…1001010001110
32200012201002020
42102121022032
534311013303
63450311010
7644122416
oct222311216
980181066
1038376078
111a731574
1210a28466
137c48650
14514d646
153580a53
hex249928e

38376078 has 64 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 11191680.

The previous prime is 38376053. The next prime is 38376083. The reversal of 38376078 is 87067383.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 142528 + ... + 142796.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 238376078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38376078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

38376078 is an abundant number, since it is smaller than the sum of its proper divisors (48715122).

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

38376078 is a wasteful number, since it uses less digits than its factorization.

38376078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 38376078 is about 6194.8428551498. The cubic root of 38376078 is about 337.3029939420.

The spelling of 38376078 in words is "thirty-eight million, three hundred seventy-six thousand, seventy-eight".

Divisors: 1 2 3 6 13 26 31 39 59 62 78 93 118 177 186 269 354 403 538 767 806 807 1209 1534 1614 1829 2301 2418 3497 3658 4602 5487 6994 8339 10491 10974 15871 16678 20982 23777 25017 31742 47554 47613 50034 71331 95226 108407 142662 206323 216814 325221 412646 492001 618969 650442 984002 1237938 1476003 2952006 6396013 12792026 19188039 38376078