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790057441 = 15742111953
BaseRepresentation
bin101111000101110…
…101000111100001
32001001122002001201
4233011311013201
53104223314231
6210221401201
725402243315
oct5705650741
92031562051
10790057441
11375a6a938
121a0709201
13c78b1514
1476cdbb45
1549561161
hex2f1751e1

790057441 has 8 divisors (see below), whose sum is σ = 797044904. Its totient is φ = 783095040.

The previous prime is 790057423. The next prime is 790057459. The reversal of 790057441 is 144750097.

It is an interprime number because it is at equal distance from previous prime (790057423) and next prime (790057459).

It can be written as a sum of positive squares in 4 ways, for example, as 21160000 + 768897441 = 4600^2 + 27729^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 790057441 - 25 = 790057409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 790057441.

It is not an unprimeable number, because it can be changed into a prime (790057481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60121 + ... + 72073.

It is an arithmetic number, because the mean of its divisors is an integer number (99630613).

Almost surely, 2790057441 is an apocalyptic number.

It is an amenable number.

790057441 is a deficient number, since it is larger than the sum of its proper divisors (6987463).

790057441 is a wasteful number, since it uses less digits than its factorization.

790057441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12531.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 790057441 is about 28107.9604560701. The cubic root of 790057441 is about 924.4559512214.

It can be divided in two parts, 7900 and 57441, that added together give a triangular number (65341 = T361).

The spelling of 790057441 in words is "seven hundred ninety million, fifty-seven thousand, four hundred forty-one".

Divisors: 1 157 421 11953 66097 1876621 5032213 790057441