Search a number
-
+
8031242952 = 23321721093541
BaseRepresentation
bin1110111101011001…
…10000101011001000
3202201201012102011200
413132230300223020
5112421444233302
63404533224200
7403010303325
oct73654605310
922651172150
108031242952
113451477777
121681792060
139acb61a85
145628bbb4c
1532011c81c
hex1deb30ac8

8031242952 has 144 divisors (see below), whose sum is σ = 23324601300. Its totient is φ = 2495784960.

The previous prime is 8031242951. The next prime is 8031242983. The reversal of 8031242952 is 2592421308.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6638012676 + 1393230276 = 81474^2 + 37326^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8031242951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2266302 + ... + 2269842.

Almost surely, 28031242952 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 8031242952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11662300650).

8031242952 is an abundant number, since it is smaller than the sum of its proper divisors (15293358348).

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

8031242952 is a wasteful number, since it uses less digits than its factorization.

8031242952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8031242952 is about 89617.2023218757. The cubic root of 8031242952 is about 2002.6001973552.

The spelling of 8031242952 in words is "eight billion, thirty-one million, two hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 109 136 153 204 218 289 306 327 408 436 578 612 654 867 872 981 1156 1224 1308 1734 1853 1962 2312 2601 2616 3468 3541 3706 3924 5202 5559 6936 7082 7412 7848 10404 10623 11118 14164 14824 16677 20808 21246 22236 28328 31501 31869 33354 42492 44472 60197 63002 63738 66708 84984 94503 120394 126004 127476 133416 180591 189006 240788 252008 254952 283509 361182 378012 385969 481576 541773 567018 722364 756024 771938 1023349 1083546 1134036 1157907 1444728 1543876 2046698 2167092 2268072 2315814 3070047 3087752 3473721 4093396 4334184 4631628 6140094 6561473 6947442 8186792 9210141 9263256 12280188 13122946 13894884 18420282 19684419 24560376 26245892 27789768 36840564 39368838 52491784 59053257 73681128 78737676 111545041 118106514 157475352 223090082 236213028 334635123 446180164 472426056 669270246 892360328 1003905369 1338540492 2007810738 2677080984 4015621476 8031242952