Search a number
-
+
512996928 = 26331791091
BaseRepresentation
bin11110100100111…
…011011001000000
31022202021221111020
4132210323121000
52022311400203
6122523145440
715466254603
oct3644733100
91282257436
10512996928
11243634204
12123975280
1382385aa2
144c1ba33a
1530084153
hex1e93b640

512996928 has 112 divisors (see below), whose sum is σ = 1420124160. Its totient is φ = 163238400.

The previous prime is 512996909. The next prime is 512996933. The reversal of 512996928 is 829699215.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469663 + ... + 470753.

It is an arithmetic number, because the mean of its divisors is an integer number (12679680).

Almost surely, 2512996928 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 512996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710062080).

512996928 is an abundant number, since it is smaller than the sum of its proper divisors (907127232).

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

512996928 is a wasteful number, since it uses less digits than its factorization.

512996928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1206 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 512996928 is about 22649.4354896540. The cubic root of 512996928 is about 800.5188966933.

The spelling of 512996928 in words is "five hundred twelve million, nine hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 79 93 96 124 158 186 192 237 248 316 372 474 496 632 744 948 992 1091 1264 1488 1896 1984 2182 2449 2528 2976 3273 3792 4364 4898 5056 5952 6546 7347 7584 8728 9796 13092 14694 15168 17456 19592 26184 29388 33821 34912 39184 52368 58776 67642 69824 78368 86189 101463 104736 117552 135284 156736 172378 202926 209472 235104 258567 270568 344756 405852 470208 517134 541136 689512 811704 1034268 1082272 1379024 1623408 2068536 2164544 2671859 2758048 3246816 4137072 5343718 5516096 6493632 8015577 8274144 10687436 16031154 16548288 21374872 32062308 42749744 64124616 85499488 128249232 170998976 256498464 512996928