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626000401 = 131723312157
BaseRepresentation
bin100101010100000…
…000001000010001
31121121221010010001
4211110000020101
52240224003101
6142041210001
721340626025
oct4524001021
91547833101
10626000401
112a13a7404
12155790901
139c900250
145d1d4385
1539e56901
hex25500211

626000401 has 16 divisors (see below), whose sum is σ = 716932944. Its totient is φ = 541476864.

The previous prime is 626000387. The next prime is 626000449. The reversal of 626000401 is 104000626.

It is a Cunningham number, because it is equal to 250202+1.

It can be written as a sum of positive squares in 8 ways, for example, as 138650625 + 487349776 = 11775^2 + 22076^2 .

It is a cyclic number.

It is not a de Polignac number, because 626000401 - 25 = 626000369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (626000801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45415 + ... + 57571.

It is an arithmetic number, because the mean of its divisors is an integer number (44808309).

Almost surely, 2626000401 is an apocalyptic number.

It is an amenable number.

626000401 is a deficient number, since it is larger than the sum of its proper divisors (90932543).

626000401 is a wasteful number, since it uses less digits than its factorization.

626000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12420.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 626000401 is about 25020.0000199840. Note that the first 4 decimals coincide. The cubic root of 626000401 is about 855.4439066021.

The spelling of 626000401 in words is "six hundred twenty-six million, four hundred one", and thus it is an aban number.

Divisors: 1 13 17 221 233 3029 3961 12157 51493 158041 206669 2686697 2832581 36823553 48153877 626000401