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629470465 = 51319350177
BaseRepresentation
bin100101100001001…
…111010100000001
31121212110102010221
4211201033110001
52242121023330
6142243423041
721412260601
oct4541172401
91555412127
10629470465
112a3357528
12156984a81
13a0546840
145d858c01
153a3deb7a
hex2584f501

629470465 has 16 divisors (see below), whose sum is σ = 817700688. Its totient is φ = 462422016.

The previous prime is 629470447. The next prime is 629470511. The reversal of 629470465 is 564074926.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 112896 + 629357569 = 336^2 + 25087^2 .

It is a 3-Lehmer number, since φ(629470465) divides (629470465-1)3.

It is a cyclic number.

It is not a de Polignac number, because 629470465 - 225 = 595916033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12544 + ... + 37633.

It is an arithmetic number, because the mean of its divisors is an integer number (51106293).

It is a Poulet number, since it divides 2629470464-1.

Almost surely, 2629470465 is an apocalyptic number.

629470465 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

629470465 is the 12545-th decagonal number.

It is an amenable number.

629470465 is a deficient number, since it is larger than the sum of its proper divisors (188230223).

629470465 is a wasteful number, since it uses less digits than its factorization.

629470465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50388.

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 629470465 is about 25089.2499887900. The cubic root of 629470465 is about 857.0216356282.

The spelling of 629470465 in words is "six hundred twenty-nine million, four hundred seventy thousand, four hundred sixty-five".

Divisors: 1 5 13 65 193 965 2509 12545 50177 250885 652301 3261505 9684161 48420805 125894093 629470465