Search a number
-
+
2675079456 = 253722317851
BaseRepresentation
bin1001111101110010…
…0111100100100000
320220102122010010220
42133130213210200
520434310020311
61121240123040
7123201541320
oct23734474440
96812563126
102675079456
111153015875
12627a66480
1333829c76a
141b53c7280
15109cb1206
hex9f727920

2675079456 has 96 divisors (see below), whose sum is σ = 8061677568. Its totient is φ = 760838400.

The previous prime is 2675079431. The next prime is 2675079461. The reversal of 2675079456 is 6549705762.

2675079456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2675079399 and 2675079408.

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, 140931 + ... + 158781.

It is an arithmetic number, because the mean of its divisors is an integer number (83975808).

Almost surely, 22675079456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2675079456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030838784).

2675079456 is an abundant number, since it is smaller than the sum of its proper divisors (5386598112).

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

2675079456 is a wasteful number, since it uses less digits than its factorization.

2675079456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18094 (or 18086 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The square root of 2675079456 is about 51721.1702883838. The cubic root of 2675079456 is about 1388.1792934460.

The spelling of 2675079456 in words is "two billion, six hundred seventy-five million, seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 223 224 336 446 669 672 892 1338 1561 1784 2676 3122 3568 4683 5352 6244 7136 9366 10704 12488 17851 18732 21408 24976 35702 37464 49952 53553 71404 74928 107106 124957 142808 149856 214212 249914 285616 374871 428424 499828 571232 749742 856848 999656 1499484 1713696 1999312 2998968 3980773 3998624 5997936 7961546 11942319 11995872 15923092 23884638 27865411 31846184 47769276 55730822 63692368 83596233 95538552 111461644 127384736 167192466 191077104 222923288 334384932 382154208 445846576 668769864 891693152 1337539728 2675079456