Search a number
-
+
2025792768 = 28319138829
BaseRepresentation
bin111100010111111…
…0010010100000000
312020011212221020210
41320233302110000
513122100332033
6533003434120
7101125645236
oct17057622400
95204787223
102025792768
1194a5640aa
12486525940
1326390835c
14153090956
15bcca9d63
hex78bf2500

2025792768 has 72 divisors (see below), whose sum is σ = 5675370400. Its totient is φ = 639719424.

The previous prime is 2025792707. The next prime is 2025792779. The reversal of 2025792768 is 8672975202.

It is a super-2 number, since 2×20257927682 = 8207672677762203648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 54823 + ... + 84006.

Almost surely, 22025792768 is an apocalyptic number.

It is an amenable number.

2025792768 is an abundant number, since it is smaller than the sum of its proper divisors (3649577632).

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

2025792768 is a wasteful number, since it uses less digits than its factorization.

2025792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138867 (or 138853 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2025792768 is about 45008.8076713881. The cubic root of 2025792768 is about 1265.3140742958.

The spelling of 2025792768 in words is "two billion, twenty-five million, seven hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 138829 277658 416487 555316 832974 1110632 1665948 2221264 2637751 3331896 4442528 5275502 6663792 7913253 8885056 10551004 13327584 15826506 17770112 21102008 26655168 31653012 35540224 42204016 53310336 63306024 84408032 106620672 126612048 168816064 253224096 337632128 506448192 675264256 1012896384 2025792768