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535038816 = 25313538089
BaseRepresentation
bin11111111001000…
…000101101100000
31101021202210021110
4133321000231200
52043432220231
6125031423320
716154516634
oct3771005540
91337683243
10535038816
11255019644
1212b224b40
1386b02720
14510b6dc4
1531e8a046
hex1fe40b60

535038816 has 96 divisors (see below), whose sum is σ = 1541242080. Its totient is φ = 161501184.

The previous prime is 535038793. The next prime is 535038851. The reversal of 535038816 is 618830535.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 62100 + ... + 70188.

It is an arithmetic number, because the mean of its divisors is an integer number (16054605).

Almost surely, 2535038816 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 535038816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770621040).

535038816 is an abundant number, since it is smaller than the sum of its proper divisors (1006203264).

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

535038816 is a wasteful number, since it uses less digits than its factorization.

535038816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 535038816 is about 23130.9060782322. The cubic root of 535038816 is about 811.8237704703.

The spelling of 535038816 in words is "five hundred thirty-five million, thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 318 416 424 624 636 689 848 1248 1272 1378 1696 2067 2544 2756 4134 5088 5512 8089 8268 11024 16178 16536 22048 24267 32356 33072 48534 64712 66144 97068 105157 129424 194136 210314 258848 315471 388272 420628 428717 630942 776544 841256 857434 1261884 1286151 1682512 1714868 2523768 2572302 3365024 3429736 5047536 5144604 5573321 6859472 10095072 10289208 11146642 13718944 16719963 20578416 22293284 33439926 41156832 44586568 66879852 89173136 133759704 178346272 267519408 535038816