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533376640 = 2753372473
BaseRepresentation
bin11111110010101…
…010111010000000
31101011122100012101
4133302222322000
52043021023030
6124532040144
716134424636
oct3762527200
91334570171
10533376640
11254093845
1212a763054
138666cca4
1450ba3356
1531c5c7ca
hex1fcaae80

533376640 has 64 divisors (see below), whose sum is σ = 1279404360. Its totient is φ = 212631552.

The previous prime is 533376593. The next prime is 533376643. The reversal of 533376640 is 46673335.

It can be written as a sum of positive squares in 4 ways, for example, as 430313536 + 103063104 = 20744^2 + 10152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 533376640.

It is not an unprimeable number, because it can be changed into a prime (533376643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214444 + ... + 216916.

Almost surely, 2533376640 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 533376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639702180).

533376640 is an abundant number, since it is smaller than the sum of its proper divisors (746027720).

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

533376640 is a wasteful number, since it uses less digits than its factorization.

533376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

The square root of 533376640 is about 23094.9483653893. The cubic root of 533376640 is about 810.9822154736.

The spelling of 533376640 in words is "five hundred thirty-three million, three hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 337 640 674 1348 1685 2473 2696 3370 4946 5392 6740 9892 10784 12365 13480 19784 21568 24730 26960 39568 43136 49460 53920 79136 98920 107840 158272 197840 215680 316544 395680 791360 833401 1582720 1666802 3333604 4167005 6667208 8334010 13334416 16668020 26668832 33336040 53337664 66672080 106675328 133344160 266688320 533376640