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550542564 = 22321113229467
BaseRepresentation
bin100000110100001…
…001110011100100
31102100221110102100
4200310021303210
52111414330224
6130344012100
716433351235
oct4064116344
91370843370
10550542564
11262848860
12134461030
138a0a0440
145319108c
15334edac9
hex20d09ce4

550542564 has 144 divisors (see below), whose sum is σ = 1645600320. Its totient is φ = 152997120.

The previous prime is 550542557. The next prime is 550542581. The reversal of 550542564 is 465245055.

550542564 is a `hidden beast` number, since 5 + 50 + 5 + 42 + 564 = 666.

It is a super-2 number, since 2×5505425642 = 606194229551388192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178659 + ... + 1179125.

It is an arithmetic number, because the mean of its divisors is an integer number (11427780).

Almost surely, 2550542564 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 550542564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822800160).

550542564 is an abundant number, since it is smaller than the sum of its proper divisors (1095057756).

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

550542564 is a wasteful number, since it uses less digits than its factorization.

550542564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 550542564 is about 23463.6434510926. The cubic root of 550542564 is about 819.5905967408.

The spelling of 550542564 in words is "five hundred fifty million, five hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 229 234 286 396 429 458 467 468 572 687 858 916 934 1287 1374 1401 1716 1868 2061 2519 2574 2748 2802 2977 4122 4203 5038 5137 5148 5604 5954 6071 7557 8244 8406 8931 10076 10274 11908 12142 15114 15411 16812 17862 18213 20548 22671 24284 26793 30228 30822 32747 35724 36426 45342 46233 53586 54639 61644 65494 66781 72852 90684 92466 98241 106943 107172 109278 130988 133562 184932 196482 200343 213886 218556 267124 294723 320829 392964 400686 427772 589446 601029 641658 801372 962487 1176373 1178892 1202058 1283316 1390259 1924974 2352746 2404116 2780518 3529119 3849948 4170777 4705492 5561036 7058238 8341554 10587357 12512331 14116476 15292849 16683108 21174714 25024662 30585698 42349428 45878547 50049324 61171396 91757094 137635641 183514188 275271282 550542564