Search a number
-
+
38012448 = 2533153241
BaseRepresentation
bin1001000100000…
…0011000100000
32122112020021110
42101000120200
534212344243
63434423320
7641046315
oct221003040
978466243
1038012448
111a503351
1210891b40
137b4bc96
145096d0c
15350ce33
hex2440620

38012448 has 96 divisors (see below), whose sum is σ = 105380352. Its totient is φ = 11980800.

The previous prime is 38012441. The next prime is 38012449. The reversal of 38012448 is 84421083.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (38012441) 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, 157608 + ... + 157848.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 238012448 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 38012448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

38012448 is an abundant number, since it is smaller than the sum of its proper divisors (67367904).

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

38012448 is a wasteful number, since it uses less digits than its factorization.

38012448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38012448 is about 6165.4235864213. The cubic root of 38012448 is about 336.2342470843.

The spelling of 38012448 in words is "thirty-eight million, twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 93 96 106 124 159 186 212 241 248 318 372 424 482 496 636 723 744 848 964 992 1272 1446 1488 1643 1696 1928 2544 2892 2976 3286 3856 4929 5088 5784 6572 7471 7712 9858 11568 12773 13144 14942 19716 22413 23136 25546 26288 29884 38319 39432 44826 51092 52576 59768 76638 78864 89652 102184 119536 153276 157728 179304 204368 239072 306552 358608 395963 408736 613104 717216 791926 1187889 1226208 1583852 2375778 3167704 4751556 6335408 9503112 12670816 19006224 38012448