Search a number
-
+
516163428 = 223411251577
BaseRepresentation
bin11110110001000…
…000011101100100
31022222020211010000
4132301000131210
52024114212203
6123115101300
715535213434
oct3661003544
91288224100
10516163428
112453a7250
12124a41830
1382c24161
144c7a22c4
15304ac4a3
hex1ec40764

516163428 has 120 divisors (see below), whose sum is σ = 1480447584. Its totient is φ = 155520000.

The previous prime is 516163409. The next prime is 516163463. The reversal of 516163428 is 824361615.

It is a happy number.

516163428 is a `hidden beast` number, since 5 + 1 + 616 + 34 + 2 + 8 = 666.

It is a super-2 number, since 2×5161634282 = 532849368809422368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 516163392 and 516163401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 894276 + ... + 894852.

Almost surely, 2516163428 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 516163428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740223792).

516163428 is an abundant number, since it is smaller than the sum of its proper divisors (964284156).

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

516163428 is a wasteful number, since it uses less digits than its factorization.

516163428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 844 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 516163428 is about 22719.2303566824. The cubic root of 516163428 is about 802.1626007630.

The spelling of 516163428 in words is "five hundred sixteen million, one hundred sixty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 251 297 324 396 502 577 594 753 891 1004 1154 1188 1506 1731 1782 2259 2308 2761 3012 3462 3564 4518 5193 5522 6347 6777 6924 8283 9036 10386 11044 12694 13554 15579 16566 19041 20331 20772 24849 25388 27108 31158 33132 38082 40662 46737 49698 57123 62316 74547 76164 81324 93474 99396 114246 144827 149094 171369 186948 223641 228492 289654 298188 342738 434481 447282 514107 579308 685476 868962 894564 1028214 1303443 1593097 1737924 2056428 2606886 3186194 3910329 4779291 5213772 6372388 7820658 9558582 11730987 14337873 15641316 19117164 23461974 28675746 43013619 46923948 57351492 86027238 129040857 172054476 258081714 516163428