Search a number
-
+
76397412 = 223713431627
BaseRepresentation
bin1001000110110…
…11101101100100
312022202101112210
410203123231210
5124024204122
611325243420
71615236660
oct443335544
9168671483
1076397412
113a140563
1221703570
1312a9b690
14a2098a0
156a9140c
hex48dbb64

76397412 has 96 divisors (see below), whose sum is σ = 224637952. Its totient is φ = 19668096.

The previous prime is 76397407. The next prime is 76397413. The reversal of 76397412 is 21479367.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (76397413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46143 + ... + 47769.

Almost surely, 276397412 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 76397412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112318976).

76397412 is an abundant number, since it is smaller than the sum of its proper divisors (148240540).

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

76397412 is a wasteful number, since it uses less digits than its factorization.

76397412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1695 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 76397412 is about 8740.5613092066. The cubic root of 76397412 is about 424.3193941486.

It can be divided in two parts, 7639 and 7412, that added together give a palindrome (15051).

The spelling of 76397412 in words is "seventy-six million, three hundred ninety-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 903 1092 1118 1204 1627 1677 1806 2236 3254 3354 3612 3913 4881 6508 6708 7826 9762 11389 11739 15652 19524 21151 22778 23478 34167 42302 45556 46956 63453 68334 69961 84604 126906 136668 139922 148057 209883 253812 279844 296114 419766 444171 489727 592228 839532 888342 909493 979454 1469181 1776684 1818986 1958908 2728479 2938362 3637972 5456958 5876724 6366451 10913916 12732902 19099353 25465804 38198706 76397412