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533885472 = 2533312643
BaseRepresentation
bin11111110100100…
…111001000100000
31101012121012012000
4133310213020200
52043133313342
6124551004000
716141644261
oct3764471040
91335535160
10533885472
1125440106a
1212a969600
13867ba783
1450c96968
1531d0d44c
hex1fd27220

533885472 has 144 divisors (see below), whose sum is σ = 1611519840. Its totient is φ = 171953280.

The previous prime is 533885467. The next prime is 533885491. The reversal of 533885472 is 274588335.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829983 + ... + 830625.

It is an arithmetic number, because the mean of its divisors is an integer number (11191110).

Almost surely, 2533885472 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 533885472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805759920).

533885472 is an abundant number, since it is smaller than the sum of its proper divisors (1077634368).

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

533885472 is a wasteful number, since it uses less digits than its factorization.

533885472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 679 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 533885472 is about 23105.9618280651. The cubic root of 533885472 is about 811.2400211339.

The spelling of 533885472 in words is "five hundred thirty-three million, eight hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 643 744 837 864 961 992 1116 1286 1488 1674 1922 1929 2232 2572 2883 2976 3348 3844 3858 4464 5144 5766 5787 6696 7688 7716 8649 8928 10288 11532 11574 13392 15376 15432 17298 17361 19933 20576 23064 23148 25947 26784 30752 30864 34596 34722 39866 46128 46296 51894 59799 61728 69192 69444 79732 92256 92592 103788 119598 138384 138888 159464 179397 185184 207576 239196 276768 277776 318928 358794 415152 478392 538191 555552 617923 637856 717588 830304 956784 1076382 1235846 1435176 1853769 1913568 2152764 2471692 2870352 3707538 4305528 4943384 5561307 5740704 7415076 8611056 9886768 11122614 14830152 16683921 17222112 19773536 22245228 29660304 33367842 44490456 59320608 66735684 88980912 133471368 177961824 266942736 533885472