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2078630464 = 264121392
BaseRepresentation
bin111101111100101…
…0110001001000000
312100212022100221111
41323321112021000
513224112133324
6542132133104
7102340032061
oct17371261100
95325270844
102078630464
11977372919
124a0167194
13271848271
1415a0c6568
15c2745794
hex7be56240

2078630464 has 63 divisors (see below), whose sum is σ = 4258475481. Its totient is φ = 1006671360.

The previous prime is 2078630461. The next prime is 2078630467. The reversal of 2078630464 is 4640368702.

It is a happy number.

The square root of 2078630464 is 45592.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2078630461) and next prime (2078630467).

It can be written as a sum of positive squares in only one way, i.e., 100160064 + 1978470400 = 10008^2 + 44480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2078630461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14954107 + ... + 14954245.

Almost surely, 22078630464 is an apocalyptic number.

2078630464 is the 45592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078630464

2078630464 is an abundant number, since it is smaller than the sum of its proper divisors (2179845017).

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

2078630464 is an frugal number, since it uses more digits than its factorization.

2078630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The cubic root of 2078630464 is about 1276.2206357793.

The spelling of 2078630464 in words is "two billion, seventy-eight million, six hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 139 164 278 328 556 656 1112 1312 1681 2224 2624 3362 4448 5699 6724 8896 11398 13448 19321 22796 26896 38642 45592 53792 77284 91184 107584 154568 182368 233659 309136 364736 467318 618272 792161 934636 1236544 1584322 1869272 3168644 3738544 6337288 7477088 12674576 14954176 25349152 32478601 50698304 64957202 129914404 259828808 519657616 1039315232 2078630464