Search a number
-
+
8330987988 = 223219313311187
BaseRepresentation
bin1111100001001000…
…01100100111010100
3210111121020001001200
413300210030213110
5114030213103423
63454401552500
7413310141501
oct76044144724
923447201050
108330987988
113595697644
121746045730
13a29ca07bb
145906264a8
1533b5cad43
hex1f090c9d4

8330987988 has 144 divisors (see below), whose sum is σ = 22970787840. Its totient is φ = 2536142400.

The previous prime is 8330987971. The next prime is 8330987993. The reversal of 8330987988 is 8897890338.

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, 7017931 + ... + 7019117.

It is an arithmetic number, because the mean of its divisors is an integer number (159519360).

Almost surely, 28330987988 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 8330987988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485393920).

8330987988 is an abundant number, since it is smaller than the sum of its proper divisors (14639799852).

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

8330987988 is a wasteful number, since it uses less digits than its factorization.

8330987988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The square root of 8330987988 is about 91274.2460281103. The cubic root of 8330987988 is about 2027.2104491576.

The spelling of 8330987988 in words is "eight billion, three hundred thirty million, nine hundred eighty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 331 342 372 558 589 662 684 993 1116 1178 1187 1324 1767 1986 2356 2374 2979 3534 3561 3972 4748 5301 5958 6289 7068 7122 10261 10602 10683 11916 12578 14244 18867 20522 21204 21366 22553 25156 30783 36797 37734 41044 42732 45106 56601 61566 67659 73594 75468 90212 92349 110391 113202 123132 135318 147188 184698 194959 202977 220782 226404 270636 331173 369396 389918 392897 405954 441564 584877 662346 699143 779836 785794 811908 1169754 1178691 1324692 1398286 1571588 1754631 2097429 2339508 2357382 2796572 3509262 3536073 4194858 4714764 6292287 7018524 7072146 7465043 8389716 12179807 12584574 14144292 14930086 22395129 24359614 25169148 29860172 36539421 44790258 48719228 67185387 73078842 89580516 109618263 134370774 146157684 219236526 231416333 268741548 438473052 462832666 694248999 925665332 1388497998 2082746997 2776995996 4165493994 8330987988