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76713444 = 22322130929
BaseRepresentation
bin1001001001010…
…00110111100100
312100100110001200
410210220313210
5124114312234
611340122500
71621024233
oct444506744
9170313050
1076713444
113a336a45
1221836430
1312b7c492
14a28cb1a
156b04d99
hex4928de4

76713444 has 18 divisors (see below), whose sum is σ = 193914630. Its totient is φ = 25571136.

The previous prime is 76713421. The next prime is 76713449. The reversal of 76713444 is 44431767.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 1232100 = 8688^2 + 1110^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×767134442 = 11769904980682272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2130929 = 76713444 / (7 + 6 + 7 + 1 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 76713399 and 76713408.

It is not an unprimeable number, because it can be changed into a prime (76713449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1065429 + ... + 1065500.

It is an arithmetic number, because the mean of its divisors is an integer number (10773035).

Almost surely, 276713444 is an apocalyptic number.

It is an amenable number.

76713444 is an abundant number, since it is smaller than the sum of its proper divisors (117201186).

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

76713444 is a wasteful number, since it uses less digits than its factorization.

76713444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130939 (or 2130934 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 76713444 is about 8758.6211243551. The cubic root of 76713444 is about 424.9036810561.

The spelling of 76713444 in words is "seventy-six million, seven hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2130929 4261858 6392787 8523716 12785574 19178361 25571148 38356722 76713444