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76281361 = 13241101109
BaseRepresentation
bin1001000101111…
…11011000010001
312022112111100121
410202333120101
5124012000421
611322550241
71614244432
oct442773021
9168474317
1076281361
113a071352
1221668381
1312a5a900
14a1b9489
156a6bd41
hex48bf611

76281361 has 24 divisors (see below), whose sum is σ = 86236920. Its totient is φ = 67392000.

The previous prime is 76281349. The next prime is 76281367. The reversal of 76281361 is 16318267.

It can be written as a sum of positive squares in 12 ways, for example, as 29495761 + 46785600 = 5431^2 + 6840^2 .

It is not a de Polignac number, because 76281361 - 29 = 76280849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76281367) 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, 699775 + ... + 699883.

It is an arithmetic number, because the mean of its divisors is an integer number (3593205).

Almost surely, 276281361 is an apocalyptic number.

It is an amenable number.

76281361 is a deficient number, since it is larger than the sum of its proper divisors (9955559).

76281361 is a wasteful number, since it uses less digits than its factorization.

76281361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 76281361 is about 8733.9201393189. The cubic root of 76281361 is about 424.1044320457.

The spelling of 76281361 in words is "seventy-six million, two hundred eighty-one thousand, three hundred sixty-one".

Divisors: 1 13 41 101 109 169 533 1313 1417 4141 4469 6929 11009 17069 18421 53833 58097 143117 451369 699829 755261 1860521 5867797 76281361