Search a number
-
+
534159312 = 2431719131263
BaseRepresentation
bin11111110101101…
…001111111010000
31101020010002211020
4133311221333100
52043221044222
6125000515440
716144164531
oct3765517720
91336102736
10534159312
11254578885
1212aa7bb80
13868852cb
1450d28688
1531d6465c
hex1fd69fd0

534159312 has 160 divisors (see below), whose sum is σ = 1555614720. Its totient is φ = 156948480.

The previous prime is 534159299. The next prime is 534159349. The reversal of 534159312 is 213951435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030893 + ... + 2031155.

It is an arithmetic number, because the mean of its divisors is an integer number (9722592).

Almost surely, 2534159312 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 534159312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

534159312 is an abundant number, since it is smaller than the sum of its proper divisors (1021455408).

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

534159312 is a wasteful number, since it uses less digits than its factorization.

534159312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 534159312 is about 23111.8868117685. The cubic root of 534159312 is about 811.3786975656.

The spelling of 534159312 in words is "five hundred thirty-four million, one hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 131 136 152 204 228 262 263 272 304 323 393 408 456 524 526 646 786 789 816 912 969 1048 1052 1292 1572 1578 1938 2096 2104 2227 2489 2584 3144 3156 3876 4208 4454 4471 4978 4997 5168 6288 6312 6681 7467 7752 8908 8942 9956 9994 12624 13362 13413 14934 14991 15504 17816 17884 19912 19988 26724 26826 29868 29982 34453 35632 35768 39824 39976 42313 53448 53652 59736 59964 68906 71536 79952 84626 84949 103359 106896 107304 119472 119928 126939 137812 169252 169898 206718 214608 239856 253878 254847 275624 338504 339796 413436 507756 509694 551248 585701 654607 677008 679592 826872 1015512 1019388 1171402 1309214 1359184 1653744 1757103 1963821 2031024 2038776 2342804 2618428 3514206 3927642 4077552 4685608 5236856 7028412 7855284 9371216 10473712 11128319 14056824 15710568 22256638 28113648 31421136 33384957 44513276 66769914 89026552 133539828 178053104 267079656 534159312