Search a number
-
+
38039148 = 22327236563
BaseRepresentation
bin1001000100011…
…0111001101100
32122120120220100
42101012321230
534214223043
63435151100
7641220210
oct221067154
978516810
1038039148
111a521414
12108a5490
137b5b194
1450a2940
153515cd3
hex2446e6c

38039148 has 72 divisors (see below), whose sum is σ = 114686208. Its totient is φ = 10394208.

The previous prime is 38039123. The next prime is 38039153. The reversal of 38039148 is 84193083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2515 + ... + 9077.

It is an arithmetic number, because the mean of its divisors is an integer number (1592864).

Almost surely, 238039148 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 38039148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57343104).

38039148 is an abundant number, since it is smaller than the sum of its proper divisors (76647060).

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

38039148 is a wasteful number, since it uses less digits than its factorization.

38039148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38039148 is about 6167.5885076746. The cubic root of 38039148 is about 336.3129524713.

The spelling of 38039148 in words is "thirty-eight million, thirty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 6563 13126 19689 26252 39378 45941 59067 78756 91882 118134 137823 150949 183764 236268 275646 301898 413469 452847 551292 603796 826938 905694 1056643 1358541 1653876 1811388 2113286 2717082 3169929 4226572 5434164 6339858 9509787 12679716 19019574 38039148