Search a number
-
+
38874192 = 2437127911
BaseRepresentation
bin1001010001001…
…0110001010000
32201011000100220
42110102301100
534422433232
63505113040
7651265560
oct224226120
981130326
1038874192
111aa41835
1211028780
1380912a6
14523cda0
15362d42c
hex2512c50

38874192 has 80 divisors (see below), whose sum is σ = 115802112. Its totient is φ = 11007360.

The previous prime is 38874169. The next prime is 38874197. The reversal of 38874192 is 29147883.

It is a super-2 number, since 2×388741922 = 3022405607305728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38874197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42217 + ... + 43127.

Almost surely, 238874192 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 38874192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57901056).

38874192 is an abundant number, since it is smaller than the sum of its proper divisors (76927920).

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

38874192 is a wasteful number, since it uses less digits than its factorization.

38874192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 38874192 is about 6234.9171606365. The cubic root of 38874192 is about 338.7561006150.

The spelling of 38874192 in words is "thirty-eight million, eight hundred seventy-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 911 1016 1524 1778 1822 2032 2667 2733 3048 3556 3644 5334 5466 6096 6377 7112 7288 10668 10932 12754 14224 14576 19131 21336 21864 25508 38262 42672 43728 51016 76524 102032 115697 153048 231394 306096 347091 462788 694182 809879 925576 1388364 1619758 1851152 2429637 2776728 3239516 4859274 5553456 6479032 9718548 12958064 19437096 38874192