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534153504 = 25353277379
BaseRepresentation
bin11111110101101…
…000100100100000
31101020002210212010
4133311220210200
52043220403004
6125000432520
716144141563
oct3765504440
91336083763
10534153504
11254574485
1212aa78740
1386882781
1450d264da
1531d62a89
hex1fd68920

534153504 has 96 divisors (see below), whose sum is σ = 1437549120. Its totient is φ = 173601792.

The previous prime is 534153493. The next prime is 534153533. The reversal of 534153504 is 405351435.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1409187 + ... + 1409565.

It is an arithmetic number, because the mean of its divisors is an integer number (14974470).

Almost surely, 2534153504 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 534153504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718774560).

534153504 is an abundant number, since it is smaller than the sum of its proper divisors (903395616).

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

534153504 is a wasteful number, since it uses less digits than its factorization.

534153504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 534153504 is about 23111.7611617981. The cubic root of 534153504 is about 811.3757568047.

The spelling of 534153504 in words is "five hundred thirty-four million, one hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 277 318 379 424 554 636 758 831 848 1108 1137 1272 1516 1662 1696 2216 2274 2544 3032 3324 4432 4548 5088 6064 6648 8864 9096 12128 13296 14681 18192 20087 26592 29362 36384 40174 44043 58724 60261 80348 88086 104983 117448 120522 160696 176172 209966 234896 241044 314949 321392 352344 419932 469792 482088 629898 642784 704688 839864 964176 1259796 1409376 1679728 1928352 2519592 3359456 5039184 5564099 10078368 11128198 16692297 22256396 33384594 44512792 66769188 89025584 133538376 178051168 267076752 534153504