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534914772 = 2237223371069
BaseRepresentation
bin11111111000100…
…010011011010100
31101021112111010020
4133320202123110
52043414233042
6125025025140
716153462200
oct3770423324
91337474106
10534914772
11254a44427
1212b1851b0
1386a8b122
1451083b00
1531e633ec
hex1fe226d4

534914772 has 144 divisors (see below), whose sum is σ = 1557440640. Its totient is φ = 142103808.

The previous prime is 534914759. The next prime is 534914819. The reversal of 534914772 is 277419435.

It is a super-2 number, since 2×5349147722 = 572267626607623968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 499854 + ... + 500922.

It is an arithmetic number, because the mean of its divisors is an integer number (10815560).

Almost surely, 2534914772 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 534914772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778720320).

534914772 is an abundant number, since it is smaller than the sum of its proper divisors (1022525868).

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

534914772 is a wasteful number, since it uses less digits than its factorization.

534914772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1141 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 534914772 is about 23128.2245751809. The cubic root of 534914772 is about 811.7610275764.

The spelling of 534914772 in words is "five hundred thirty-four million, nine hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 37 42 46 49 69 74 84 92 98 111 138 147 148 161 196 222 259 276 294 322 444 483 518 588 644 777 851 966 1036 1069 1127 1554 1702 1813 1932 2138 2254 2553 3108 3207 3381 3404 3626 4276 4508 5106 5439 5957 6414 6762 7252 7483 10212 10878 11914 12828 13524 14966 17871 21756 22449 23828 24587 29932 35742 39553 41699 44898 49174 52381 71484 73761 79106 83398 89796 98348 104762 118659 125097 147522 157143 158212 166796 172109 209524 237318 250194 276871 295044 314286 344218 474636 500388 516327 553742 628572 688436 830613 909719 1032654 1107484 1204763 1661226 1819438 1938097 2065308 2409526 2729157 3322452 3614289 3638876 3876194 4819052 5458314 5814291 6368033 7228578 7752388 10916628 11628582 12736066 14457156 19104099 23257164 25472132 38208198 44576231 76416396 89152462 133728693 178304924 267457386 534914772