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4375294992 = 2432374120029
BaseRepresentation
bin1000001001100100…
…11011010000010000
3102021220220000101200
410010302123100100
532430033414432
62002053431200
7213265252035
oct40462332020
912256800350
104375294992
111945815982
12a2133b500
135495c3163
142d712738c
151a91a8a7c
hex104c9b410

4375294992 has 120 divisors (see below), whose sum is σ = 12883055640. Its totient is φ = 1384335360.

The previous prime is 4375294961. The next prime is 4375295003. The reversal of 4375294992 is 2994925734.

It can be written as a sum of positive squares in 4 ways, for example, as 196448256 + 4178846736 = 14016^2 + 64644^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208434 + ... + 228462.

It is an arithmetic number, because the mean of its divisors is an integer number (107358797).

Almost surely, 24375294992 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 4375294992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441527820).

4375294992 is an abundant number, since it is smaller than the sum of its proper divisors (8507760648).

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

4375294992 is a wasteful number, since it uses less digits than its factorization.

4375294992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20121 (or 20112 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 4375294992 is about 66146.0126689432. The cubic root of 4375294992 is about 1635.5699138260.

The spelling of 4375294992 in words is "four billion, three hundred seventy-five million, two hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 41 48 72 74 82 111 123 144 148 164 222 246 296 328 333 369 444 492 592 656 666 738 888 984 1332 1476 1517 1776 1968 2664 2952 3034 4551 5328 5904 6068 9102 12136 13653 18204 20029 24272 27306 36408 40058 54612 60087 72816 80116 109224 120174 160232 180261 218448 240348 320464 360522 480696 721044 741073 821189 961392 1442088 1482146 1642378 2223219 2463567 2884176 2964292 3284756 4446438 4927134 5928584 6569512 6669657 7390701 8892876 9854268 11857168 13139024 13339314 14781402 17785752 19708536 26678628 29562804 30383993 35571504 39417072 53357256 59125608 60767986 91151979 106714512 118251216 121535972 182303958 243071944 273455937 364607916 486143888 546911874 729215832 1093823748 1458431664 2187647496 4375294992