Search a number
-
+
82397376 = 2632197529
BaseRepresentation
bin1001110100101…
…00100011000000
312202001012221200
410322110203000
5132043204001
612102021200
72020236405
oct472244300
9182035850
1082397376
1142569406
1223717800
13140bc659
14ad2c2ac
157379086
hex4e948c0

82397376 has 84 divisors (see below), whose sum is σ = 248640600. Its totient is φ = 26016768.

The previous prime is 82397369. The next prime is 82397377. The reversal of 82397376 is 67379328.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82397377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7180 + ... + 14708.

Almost surely, 282397376 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 82397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124320300).

82397376 is an abundant number, since it is smaller than the sum of its proper divisors (166243224).

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

82397376 is a wasteful number, since it uses less digits than its factorization.

82397376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7553 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 82397376 is about 9077.3000391085. The cubic root of 82397376 is about 435.1488036301.

The spelling of 82397376 in words is "eighty-two million, three hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 7529 10944 15058 22587 30116 45174 60232 67761 90348 120464 135522 143051 180696 240928 271044 286102 361392 429153 481856 542088 572204 722784 858306 1084176 1144408 1287459 1445568 1716612 2168352 2288816 2574918 3433224 4336704 4577632 5149836 6866448 9155264 10299672 13732896 20599344 27465792 41198688 82397376