Search a number
-
+
4052712906 = 2331115743457
BaseRepresentation
bin1111000110001111…
…0111110111001010
3101110102220010222000
43301203313313022
531244443303111
61510051411430
7202300330344
oct36143676712
911412803860
104052712906
11179a718210
129512b3b76
134c7819898
142a6356294
1518abd8c56
hexf18f7dca

4052712906 has 64 divisors (see below), whose sum is σ = 9887564160. Its totient is φ = 1220244480.

The previous prime is 4052712887. The next prime is 4052712913. The reversal of 4052712906 is 6092172504.

4052712906 is a `hidden beast` number, since 4 + 0 + 527 + 129 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71530 + ... + 114986.

It is an arithmetic number, because the mean of its divisors is an integer number (154493190).

Almost surely, 24052712906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052712906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943782080).

4052712906 is an abundant number, since it is smaller than the sum of its proper divisors (5834851254).

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

4052712906 is a wasteful number, since it uses less digits than its factorization.

4052712906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43636 (or 43630 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4052712906 is about 63660.9213411179. The cubic root of 4052712906 is about 1594.3436870261.

The spelling of 4052712906 in words is "four billion, fifty-two million, seven hundred twelve thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 157 198 297 314 471 594 942 1413 1727 2826 3454 4239 5181 8478 10362 15543 31086 43457 46629 86914 93258 130371 260742 391113 478027 782226 956054 1173339 1434081 2346678 2868162 4302243 6822749 8604486 12906729 13645498 20468247 25813458 40936494 61404741 75050239 122809482 150100478 184214223 225150717 368428446 450301434 675452151 1350904302 2026356453 4052712906