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2026826004 = 2237231251443
BaseRepresentation
bin111100011001110…
…1110100100010100
312020020211102120210
41320303232210110
513122331413004
6533041525420
7101140510500
oct17063564424
95206742523
102026826004
119500aa415
12486943870
13263baa738
1415327d300
15bce11089
hex78cee914

2026826004 has 144 divisors (see below), whose sum is σ = 5714343936. Its totient is φ = 556920000.

The previous prime is 2026825963. The next prime is 2026826047. The reversal of 2026826004 is 4006286202.

2026826004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4575007 + ... + 4575449.

It is an arithmetic number, because the mean of its divisors is an integer number (39682944).

Almost surely, 22026826004 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 2026826004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857171968).

2026826004 is an abundant number, since it is smaller than the sum of its proper divisors (3687517932).

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

2026826004 is a wasteful number, since it uses less digits than its factorization.

2026826004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2026826004 is about 45020.2843616075. The cubic root of 2026826004 is about 1265.5291581330.

The spelling of 2026826004 in words is "two billion, twenty-six million, eight hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 251 294 372 434 443 502 588 651 753 868 886 1004 1302 1329 1506 1519 1757 1772 2604 2658 3012 3038 3101 3514 4557 5271 5316 6076 6202 7028 7781 9114 9303 10542 12299 12404 13733 15562 18228 18606 21084 21707 23343 24598 27466 31124 36897 37212 41199 43414 46686 49196 54467 54932 65121 73794 82398 86828 93372 96131 108934 111193 130242 147588 163401 164796 192262 217868 222386 260484 288393 326802 333579 381269 384524 444772 576786 653604 667158 672917 762538 778351 1143807 1153572 1334316 1345834 1525076 1556702 2018751 2287614 2335053 2691668 3113404 3446983 4037502 4575228 4670106 5448457 6893966 8075004 9340212 10340949 10896914 13787932 16345371 20681898 21793828 24128881 32690742 41363796 48257762 65381484 72386643 96515524 144773286 168902167 289546572 337804334 506706501 675608668 1013413002 2026826004