Search a number
-
+
5272602624 = 21132416977
BaseRepresentation
bin1001110100100010…
…11000100000000000
3111121110022222001200
410322101120200000
541244241240444
62231110101200
7244442245212
oct47221304000
914543288050
105272602624
112266279433
12103194a800
13660486213
143803825b2
1520cd52969
hex13a458800

5272602624 has 144 divisors (see below), whose sum is σ = 15601900860. Its totient is φ = 1714421760.

The previous prime is 5272602623. The next prime is 5272602677. The reversal of 5272602624 is 4262062725.

5272602624 is a `hidden beast` number, since 5 + 2 + 7 + 26 + 0 + 2 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4299162624 + 973440000 = 65568^2 + 31200^2 .

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

It is a super-2 number, since 2×52726026242 = 55600676861223370752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5272602623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 752224 + ... + 759200.

Almost surely, 25272602624 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 5272602624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800950430).

5272602624 is an abundant number, since it is smaller than the sum of its proper divisors (10329298236).

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

5272602624 is a wasteful number, since it uses less digits than its factorization.

5272602624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7046 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5272602624 is about 72612.6891390203. The cubic root of 5272602624 is about 1740.5039523230.

The spelling of 5272602624 in words is "five billion, two hundred seventy-two million, six hundred two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1312 1476 1536 1968 2048 2304 2624 2952 3072 3936 4608 5248 5904 6144 6977 7872 9216 10496 11808 13954 15744 18432 20931 20992 23616 27908 31488 41862 41984 47232 55816 62793 62976 83724 83968 94464 111632 125586 125952 167448 188928 223264 251172 251904 286057 334896 377856 446528 502344 572114 669792 755712 858171 893056 1004688 1144228 1339584 1716342 1786112 2009376 2288456 2574513 2679168 3432684 3572224 4018752 4576912 5149026 5358336 6865368 7144448 8037504 9153824 10298052 10716672 13730736 14288896 16075008 18307648 20596104 21433344 27461472 32150016 36615296 41192208 42866688 54922944 64300032 73230592 82384416 109845888 128600064 146461184 164768832 219691776 292922368 329537664 439383552 585844736 659075328 878767104 1318150656 1757534208 2636301312 5272602624