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1679962464 = 25331944401
BaseRepresentation
bin110010000100010…
…0011000101100000
311100002010221021000
41210020203011200
511420032244324
6434411232000
756426305515
oct14410430540
94302127230
101679962464
11792327734
123aa748600
1320a08203b
1411d18b30c
159c7469c9
hex64223160

1679962464 has 48 divisors (see below), whose sum is σ = 4899893040. Its totient is φ = 559987200.

The previous prime is 1679962451. The next prime is 1679962499. The reversal of 1679962464 is 4642699761.

It is a happy number.

1679962464 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 9 + 624 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1679962464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971337 + ... + 973064.

It is an arithmetic number, because the mean of its divisors is an integer number (102081105).

Almost surely, 21679962464 is an apocalyptic number.

It is an amenable number.

1679962464 is an abundant number, since it is smaller than the sum of its proper divisors (3219930576).

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

1679962464 is a wasteful number, since it uses less digits than its factorization.

1679962464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944420 (or 1944406 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1679962464 is about 40987.3451689665. The cubic root of 1679962464 is about 1188.7755368734.

The spelling of 1679962464 in words is "one billion, six hundred seventy-nine million, nine hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1944401 3888802 5833203 7777604 11666406 15555208 17499609 23332812 31110416 34999218 46665624 52498827 62220832 69998436 93331248 104997654 139996872 186662496 209995308 279993744 419990616 559987488 839981232 1679962464