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534575904 = 25331263683
BaseRepresentation
bin11111110111001…
…111101100100000
31101020220021021120
4133313033230200
52043322412104
6125013452240
716150551222
oct3767175440
91336807246
10534575904
11254832875
1212b041080
138699cb05
1450dd6412
1531de7cd9
hex1fdcfb20

534575904 has 96 divisors (see below), whose sum is σ = 1456164864. Its totient is φ = 171536640.

The previous prime is 534575903. The next prime is 534575911. The reversal of 534575904 is 409575435.

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

It is not an unprimeable number, because it can be changed into a prime (534575903) 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, 782347 + ... + 783029.

It is an arithmetic number, because the mean of its divisors is an integer number (15168384).

Almost surely, 2534575904 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 534575904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728082432).

534575904 is an abundant number, since it is smaller than the sum of its proper divisors (921588960).

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

534575904 is a wasteful number, since it uses less digits than its factorization.

534575904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 534575904 is about 23120.8975604322. The cubic root of 534575904 is about 811.5895747529.

The spelling of 534575904 in words is "five hundred thirty-four million, five hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 263 372 496 526 683 744 789 992 1052 1366 1488 1578 2049 2104 2732 2976 3156 4098 4208 5464 6312 8153 8196 8416 10928 12624 16306 16392 21173 21856 24459 25248 32612 32784 42346 48918 63519 65224 65568 84692 97836 127038 130448 169384 179629 195672 254076 260896 338768 359258 391344 508152 538887 677536 718516 782688 1016304 1077774 1437032 2032608 2155548 2874064 4311096 5568499 5748128 8622192 11136998 16705497 17244384 22273996 33410994 44547992 66821988 89095984 133643976 178191968 267287952 534575904