Search a number
-
+
4689350040 = 23351710921089
BaseRepresentation
bin1000101111000000…
…11100110110011000
3110002210211122221010
410113200130312120
534100433200130
62053153013520
7224130550314
oct42740346630
913083748833
104689350040
111a9701a101
12aaa5542a0
135996a244b
14326b18b44
151c6a420b0
hex11781cd98

4689350040 has 128 divisors (see below), whose sum is σ = 15032952000. Its totient is φ = 1166082048.

The previous prime is 4689350021. The next prime is 4689350053. The reversal of 4689350040 is 400539864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211816 + ... + 232904.

Almost surely, 24689350040 is an apocalyptic number.

4689350040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4689350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516476000).

4689350040 is an abundant number, since it is smaller than the sum of its proper divisors (10343601960).

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

4689350040 is a wasteful number, since it uses less digits than its factorization.

4689350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21229 (or 21225 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4689350040 is about 68478.8291371866. The cubic root of 4689350040 is about 1673.8025200656.

The spelling of 4689350040 in words is "four billion, six hundred eighty-nine million, three hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 109 120 136 170 204 218 255 327 340 408 436 510 545 654 680 872 1020 1090 1308 1635 1853 2040 2180 2616 3270 3706 4360 5559 6540 7412 9265 11118 13080 14824 18530 21089 22236 27795 37060 42178 44472 55590 63267 74120 84356 105445 111180 126534 168712 210890 222360 253068 316335 358513 421780 506136 632670 717026 843560 1075539 1265340 1434052 1792565 2151078 2298701 2530680 2868104 3585130 4302156 4597402 5377695 6896103 7170260 8604312 9194804 10755390 11493505 13792206 14340520 18389608 21510780 22987010 27584412 34480515 39077917 43021560 45974020 55168824 68961030 78155834 91948040 117233751 137922060 156311668 195389585 234467502 275844120 312623336 390779170 468935004 586168755 781558340 937870008 1172337510 1563116680 2344675020 4689350040