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420702624 = 25321460773
BaseRepresentation
bin11001000100110…
…110100110100000
31002022121220111200
4121010312212200
51330144440444
6105425041200
713265625156
oct3104664640
91068556450
10420702624
111a6526121
12b8a86200
136920c784
143dc333d6
1526e02969
hex191369a0

420702624 has 36 divisors (see below), whose sum is σ = 1196373906. Its totient is φ = 140234112.

The previous prime is 420702563. The next prime is 420702631. The reversal of 420702624 is 426207024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 386830224 + 33872400 = 19668^2 + 5820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 730099 + ... + 730674.

Almost surely, 2420702624 is an apocalyptic number.

It is an amenable number.

420702624 is an abundant number, since it is smaller than the sum of its proper divisors (775671282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420702624 is a wasteful number, since it uses less digits than its factorization.

420702624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460789 (or 1460778 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 420702624 is about 20511.0366388440. The cubic root of 420702624 is about 749.3046141172.

Adding to 420702624 its reverse (426207024), we get a palindrome (846909648).

The spelling of 420702624 in words is "four hundred twenty million, seven hundred two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1460773 2921546 4382319 5843092 8764638 11686184 13146957 17529276 23372368 26293914 35058552 46744736 52587828 70117104 105175656 140234208 210351312 420702624