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533834880 = 2735318969
BaseRepresentation
bin11111110100011…
…010110010000000
31101012111121210020
4133310122302000
52043130204010
6124545533440
716141343625
oct3764326200
91335447706
10533834880
11254377057
1212a944280
13867a0737
1450c8234c
1531ced470
hex1fd1ac80

533834880 has 128 divisors (see below), whose sum is σ = 1756684800. Its totient is φ = 137748480.

The previous prime is 533834869. The next prime is 533834881. The reversal of 533834880 is 88438335.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5338348802 = 569959358209228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (533834881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55036 + ... + 64004.

It is an arithmetic number, because the mean of its divisors is an integer number (13724100).

Almost surely, 2533834880 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 533834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878342400).

533834880 is an abundant number, since it is smaller than the sum of its proper divisors (1222849920).

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

533834880 is a wasteful number, since it uses less digits than its factorization.

533834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022 (or 9010 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 533834880 is about 23104.8670197428. The cubic root of 533834880 is about 811.2143954434.

The spelling of 533834880 in words is "five hundred thirty-three million, eight hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4960 5952 7440 8969 9920 11904 14880 17938 19840 26907 29760 35876 44845 53814 59520 71752 89690 107628 134535 143504 179380 215256 269070 278039 287008 358760 430512 538140 556078 574016 717520 834117 861024 1076280 1112156 1148032 1390195 1435040 1668234 1722048 2152560 2224312 2780390 2870080 3336468 3444096 4170585 4305120 4448624 5560780 5740160 6672936 8341170 8610240 8897248 11121560 13345872 16682340 17220480 17794496 22243120 26691744 33364680 35588992 44486240 53383488 66729360 88972480 106766976 133458720 177944960 266917440 533834880