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76215468 = 223723103383
BaseRepresentation
bin1001000101011…
…11010010101100
312022102010222010
410202233102230
5124002343333
611321321220
71613551350
oct442572254
9168363863
1076215468
113a02689a
1221636210
1312a36914
14a19d460
156a57563
hex48af4ac

76215468 has 96 divisors (see below), whose sum is σ = 214695936. Its totient is φ = 20572992.

The previous prime is 76215467. The next prime is 76215473. The reversal of 76215468 is 86451267.

It is not an unprimeable number, because it can be changed into a prime (76215467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198805 + ... + 199187.

It is an arithmetic number, because the mean of its divisors is an integer number (2236416).

Almost surely, 276215468 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 76215468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107347968).

76215468 is an abundant number, since it is smaller than the sum of its proper divisors (138480468).

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

76215468 is a wasteful number, since it uses less digits than its factorization.

76215468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 76215468 is about 8730.1470777989. The cubic root of 76215468 is about 423.9822809137.

The spelling of 76215468 in words is "seventy-six million, two hundred fifteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 103 138 161 206 276 309 322 383 412 483 618 644 721 766 966 1149 1236 1442 1532 1932 2163 2298 2369 2681 2884 4326 4596 4738 5362 7107 8043 8652 8809 9476 10724 14214 16086 16583 17618 26427 28428 32172 33166 35236 39449 49749 52854 61663 66332 78898 99498 105708 118347 123326 157796 184989 198996 236694 246652 276143 369978 473388 552286 739956 828429 907327 1104572 1656858 1814654 2721981 3313716 3629308 5443962 6351289 10887924 12702578 19053867 25405156 38107734 76215468