Search a number
-
+
2921425408 = 291119231187
BaseRepresentation
bin1010111000100001…
…0110101000000000
321112121011210021001
42232020112220000
521440341103113
61201520141344
7132252464146
oct25610265000
97477153231
102921425408
11126a083170
12696467854
13377332bb5
141d9dd1596
151217227dd
hexae216a00

2921425408 has 160 divisors (see below), whose sum is σ = 7000266240. Its totient is φ = 1202319360.

The previous prime is 2921425393. The next prime is 2921425447. The reversal of 2921425408 is 8045241292.

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 15 ways as a sum of consecutive naturals, for example, 2460591 + ... + 2461777.

It is an arithmetic number, because the mean of its divisors is an integer number (43751664).

Almost surely, 22921425408 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 2921425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500133120).

2921425408 is an abundant number, since it is smaller than the sum of its proper divisors (4078840832).

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

2921425408 is a wasteful number, since it uses less digits than its factorization.

2921425408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2921425408 is about 54050.2119144782. The cubic root of 2921425408 is about 1429.5464367542.

The spelling of 2921425408 in words is "two billion, nine hundred twenty-one million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 64 76 88 92 128 152 176 184 209 253 256 304 352 368 418 437 506 512 608 704 736 836 874 1012 1187 1216 1408 1472 1672 1748 2024 2374 2432 2816 2944 3344 3496 4048 4748 4807 4864 5632 5888 6688 6992 8096 9496 9614 9728 11776 13057 13376 13984 16192 18992 19228 22553 26114 26752 27301 27968 32384 37984 38456 45106 52228 53504 54602 55936 64768 75968 76912 90212 104456 107008 109204 111872 129536 151936 153824 180424 208912 218408 223744 248083 300311 303872 307648 360848 417824 436816 496166 518719 600622 607744 615296 721696 835648 873632 992332 1037438 1201244 1230592 1443392 1671296 1747264 1984664 2074876 2402488 2461184 2886784 3342592 3494528 3969328 4149752 4804976 5705909 5773568 6685184 6989056 7938656 8299504 9609952 11411818 11547136 13978112 15877312 16599008 19219904 22823636 31754624 33198016 38439808 45647272 63509248 66396032 76879616 91294544 127018496 132792064 153759232 182589088 265584128 365178176 730356352 1460712704 2921425408