Search a number
-
+
38152296 = 2334713647
BaseRepresentation
bin1001000110001…
…0100001101000
32122210100010000
42101202201220
534231333141
63441423000
7642201120
oct221424150
978710100
1038152296
111a599426
121093aa60
137b9a830
1450d1c80
1535395b6
hex2462868

38152296 has 160 divisors (see below), whose sum is σ = 131725440. Its totient is φ = 10046592.

The previous prime is 38152277. The next prime is 38152321. The reversal of 38152296 is 69225183.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38152296.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58645 + ... + 59291.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 238152296 is an apocalyptic number.

38152296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38152296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

38152296 is an abundant number, since it is smaller than the sum of its proper divisors (93573144).

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

38152296 is a wasteful number, since it uses less digits than its factorization.

38152296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 672 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 38152296 is about 6176.7544875930. The cubic root of 38152296 is about 336.6460783192.

The spelling of 38152296 in words is "thirty-eight million, one hundred fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 647 648 702 728 756 819 936 1053 1092 1134 1294 1404 1512 1638 1941 2106 2184 2268 2457 2588 2808 3276 3882 4212 4529 4536 4914 5176 5823 6552 7371 7764 8411 8424 9058 9828 11646 13587 14742 15528 16822 17469 18116 19656 23292 25233 27174 29484 33644 34938 36232 40761 46584 50466 52407 54348 58877 58968 67288 69876 75699 81522 100932 104814 108696 117754 122283 139752 151398 163044 176631 201864 209628 227097 235508 244566 302796 326088 353262 366849 419256 454194 471016 489132 529893 605592 681291 706524 733698 908388 978264 1059786 1362582 1413048 1467396 1589679 1816776 2119572 2725164 2934792 3179358 4239144 4769037 5450328 6358716 9538074 12717432 19076148 38152296