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4590231876 = 223331247941
BaseRepresentation
bin1000100011001100…
…10110000101000100
3102211220022221101000
410101212112011010
533400044410001
62035252333300
7221515220136
oct42146260504
912756287330
104590231876
111a4608016a
12a81314230
13581caa149
143178b7056
151bceb3a86
hex111996144

4590231876 has 144 divisors (see below), whose sum is σ = 12571856640. Its totient is φ = 1447675200.

The previous prime is 4590231827. The next prime is 4590231881. The reversal of 4590231876 is 6781320954.

4590231876 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4590231876 is strictly pandigital in base 10.

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, 4877566 + ... + 4878506.

It is an arithmetic number, because the mean of its divisors is an integer number (87304560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4590231876 = 9180463752, but 3⋅4590231876 = 13770695628 is not.

Almost surely, 24590231876 is an apocalyptic number.

4590231876 is the 33876-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4590231876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285928320).

4590231876 is an abundant number, since it is smaller than the sum of its proper divisors (7981624764).

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

4590231876 is a wasteful number, since it uses less digits than its factorization.

4590231876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4590231876 is about 67751.2499958488. The cubic root of 4590231876 is about 1661.9254616052.

The spelling of 4590231876 in words is "four billion, five hundred ninety million, two hundred thirty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 93 94 108 124 141 186 188 279 282 372 423 558 564 837 846 941 961 1116 1269 1457 1674 1692 1882 1922 2538 2823 2883 2914 3348 3764 3844 4371 5076 5646 5766 5828 8469 8649 8742 11292 11532 13113 16938 17298 17484 25407 25947 26226 29171 33876 34596 39339 44227 45167 50814 51894 52452 58342 78678 87513 88454 90334 101628 103788 116684 132681 135501 157356 175026 176908 180668 262539 265362 271002 350052 398043 406503 525078 530724 542004 787617 796086 813006 904301 1050156 1194129 1219509 1371037 1575234 1592172 1626012 1808602 2388258 2439018 2712903 2742074 3150468 3617204 4113111 4776516 4878036 5425806 5484148 8138709 8226222 10851612 12339333 16277418 16452444 24416127 24678666 32554836 37017999 42502147 48832254 49357332 74035998 85004294 97664508 127506441 148071996 170008588 255012882 382519323 510025764 765038646 1147557969 1530077292 2295115938 4590231876