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726057401 = 3733758229
BaseRepresentation
bin101011010001101…
…100000110111001
31212121012112111212
4223101230012321
52441332314101
6200013532505
723664246266
oct5321540671
91777175455
10726057401
11342927743
121831a4135
13b7563984
146c5dc26d
1543b1d1bb
hex2b46c1b9

726057401 has 8 divisors (see below), whose sum is σ = 747906120. Its totient is φ = 704325888.

The previous prime is 726057391. The next prime is 726057407. The reversal of 726057401 is 104750627.

726057401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 222010000 + 504047401 = 14900^2 + 22451^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-726057401 is a prime.

It is a super-3 number, since 3×7260574013 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (726057407) 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, 16646 + ... + 41583.

It is an arithmetic number, because the mean of its divisors is an integer number (93488265).

Almost surely, 2726057401 is an apocalyptic number.

It is an amenable number.

726057401 is a deficient number, since it is larger than the sum of its proper divisors (21848719).

726057401 is a wasteful number, since it uses less digits than its factorization.

726057401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58603.

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 726057401 is about 26945.4523250214. The cubic root of 726057401 is about 898.7874209232.

The spelling of 726057401 in words is "seven hundred twenty-six million, fifty-seven thousand, four hundred one".

Divisors: 1 37 337 12469 58229 2154473 19623173 726057401