Search a number
-
+
534555648 = 21032115273
BaseRepresentation
bin11111110111001…
…010110000000000
31101020212020111100
4133313022300000
52043321240043
6125013214400
716150435164
oct3767126000
91336766440
10534555648
11254819630
1212b031400
1386993823
1450dccca4
1531de1cd3
hex1fdcac00

534555648 has 132 divisors (see below), whose sum is σ = 1684156968. Its totient is φ = 161955840.

The previous prime is 534555617. The next prime is 534555691. The reversal of 534555648 is 846555435.

534555648 is a `hidden beast` number, since 5 + 34 + 55 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98740 + ... + 104012.

Almost surely, 2534555648 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 534555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842078484).

534555648 is an abundant number, since it is smaller than the sum of its proper divisors (1149601320).

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

534555648 is a wasteful number, since it uses less digits than its factorization.

534555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5289 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The square root of 534555648 is about 23120.4595110045. The cubic root of 534555648 is about 811.5793237820.

The spelling of 534555648 in words is "five hundred thirty-four million, five hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5273 5632 6336 8448 9216 10546 11264 12672 15819 16896 21092 25344 31638 33792 42184 47457 50688 58003 63276 84368 94914 101376 116006 126552 168736 174009 189828 232012 253104 337472 348018 379656 464024 506208 522027 674944 696036 759312 928048 1012416 1044054 1349888 1392072 1518624 1856096 2024832 2088108 2699776 2784144 3037248 3712192 4049664 4176216 5399552 5568288 6074496 7424384 8099328 8352432 11136576 12148992 14848768 16198656 16704864 22273152 24297984 29697536 33409728 44546304 48595968 59395072 66819456 89092608 133638912 178185216 267277824 534555648