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4056536952 = 23321316012707
BaseRepresentation
bin1111000111001001…
…1101011101111000
3101110201002102120100
43301302131131320
531301433140302
61510305355400
7202344665226
oct36162353570
911421072510
104056536952
1117a189a286
12952638b60
134c8558330
142a6a6db16
1518b1e1d1c
hexf1c9d778

4056536952 has 96 divisors (see below), whose sum is σ = 11843329680. Its totient is φ = 1246924800.

The previous prime is 4056536929. The next prime is 4056536987. The reversal of 4056536952 is 2596356504.

4056536952 is a `hidden beast` number, since 4 + 0 + 565 + 36 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4056536898 and 4056536907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1497183 + ... + 1499889.

Almost surely, 24056536952 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 4056536952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921664840).

4056536952 is an abundant number, since it is smaller than the sum of its proper divisors (7786792728).

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

4056536952 is a wasteful number, since it uses less digits than its factorization.

4056536952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 4056536952 is about 63690.9487447000. The cubic root of 4056536952 is about 1594.8449913072.

The spelling of 4056536952 in words is "four billion, fifty-six million, five hundred thirty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1601 2707 3202 4803 5414 6404 8121 9606 10828 12808 14409 16242 19212 20813 21656 24363 28818 32484 35191 38424 41626 48726 57636 62439 64968 70382 83252 97452 105573 115272 124878 140764 166504 187317 194904 211146 249756 281528 316719 374634 422292 499512 633438 749268 844584 1266876 1498536 2533752 4333907 8667814 13001721 17335628 26003442 34671256 39005163 52006884 56340791 78010326 104013768 112681582 156020652 169022373 225363164 312041304 338044746 450726328 507067119 676089492 1014134238 1352178984 2028268476 4056536952