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534147504 = 243112713733
BaseRepresentation
bin11111110101100…
…111000110110000
31101020002111121220
4133311213012300
52043220210004
6125000345040
716144115232
oct3765470660
91336074556
10534147504
1125456aa20
1212aa75180
138687cb17
1450d24252
1531d60dd9
hex1fd671b0

534147504 has 80 divisors (see below), whose sum is σ = 1511284224. Its totient is φ = 161222400.

The previous prime is 534147479. The next prime is 534147511. The reversal of 534147504 is 405741435.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141222 + ... + 144954.

Almost surely, 2534147504 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 534147504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755642112).

534147504 is an abundant number, since it is smaller than the sum of its proper divisors (977136720).

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

534147504 is a wasteful number, since it uses less digits than its factorization.

534147504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 534147504 is about 23111.6313573923. The cubic root of 534147504 is about 811.3727188061.

Adding to 534147504 its reverse (405741435), we get a palindrome (939888939).

The spelling of 534147504 in words is "five hundred thirty-four million, one hundred forty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 271 528 542 813 1084 1626 2168 2981 3252 3733 4336 5962 6504 7466 8943 11199 11924 13008 14932 17886 22398 23848 29864 35772 41063 44796 47696 59728 71544 82126 89592 123189 143088 164252 179184 246378 328504 492756 657008 985512 1011643 1971024 2023286 3034929 4046572 6069858 8093144 11128073 12139716 16186288 22256146 24279432 33384219 44512292 48558864 66768438 89024584 133536876 178049168 267073752 534147504