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76503460 = 225112101313
BaseRepresentation
bin1001000111101…
…01100110100100
312022221210000111
410203311212210
5124041102320
611331422404
71616161105
oct443654644
9168853014
1076503460
113a203200
1221754a04
1312b07a27
14a2363ac
156ab2a5a
hex48f59a4

76503460 has 72 divisors (see below), whose sum is σ = 178908408. Its totient is φ = 27456000.

The previous prime is 76503409. The next prime is 76503461. The reversal of 76503460 is 6430567.

It can be written as a sum of positive squares in 4 ways, for example, as 5134756 + 71368704 = 2266^2 + 8448^2 .

It is not an unprimeable number, because it can be changed into a prime (76503461) 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 23 ways as a sum of consecutive naturals, for example, 244264 + ... + 244576.

It is an arithmetic number, because the mean of its divisors is an integer number (2484839).

Almost surely, 276503460 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 76503460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89454204).

76503460 is an abundant number, since it is smaller than the sum of its proper divisors (102404948).

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

76503460 is a wasteful number, since it uses less digits than its factorization.

76503460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 76503460 is about 8746.6256350664. The cubic root of 76503460 is about 424.5156373508.

The spelling of 76503460 in words is "seventy-six million, five hundred three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 313 404 484 505 605 626 1010 1111 1210 1252 1565 2020 2222 2420 3130 3443 4444 5555 6260 6886 11110 12221 13772 17215 22220 24442 31613 34430 37873 48884 61105 63226 68860 75746 122210 126452 151492 158065 189365 244420 316130 347743 378730 632260 695486 757460 1390972 1738715 3477430 3825173 6954860 7650346 15300692 19125865 38251730 76503460