Search a number
-
+
406016052 = 2231331591423
BaseRepresentation
bin11000001100110…
…101000000110100
31001021222202022120
4120030311000310
51312420003202
6104142155540
713030036161
oct3014650064
91037882276
10406016052
11199204962
12b3b82bb0
13661699b0
143bccd068
15259a10bc
hex18335034

406016052 has 96 divisors (see below), whose sum is σ = 1071759360. Its totient is φ = 118765440.

The previous prime is 406016041. The next prime is 406016063. The reversal of 406016052 is 250610604.

It is an interprime number because it is at equal distance from previous prime (406016041) and next prime (406016063).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284613 + ... + 286035.

It is an arithmetic number, because the mean of its divisors is an integer number (11164160).

Almost surely, 2406016052 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 406016052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535879680).

406016052 is an abundant number, since it is smaller than the sum of its proper divisors (665743308).

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

406016052 is a wasteful number, since it uses less digits than its factorization.

406016052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 406016052 is about 20149.8399993648. The cubic root of 406016052 is about 740.4818215916.

Adding to 406016052 its reverse (250610604), we get a palindrome (656626656).

The spelling of 406016052 in words is "four hundred six million, sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 59 62 78 93 118 124 156 177 186 236 354 372 403 708 767 806 1209 1423 1534 1612 1829 2301 2418 2846 3068 3658 4269 4602 4836 5487 5692 7316 8538 9204 10974 17076 18499 21948 23777 36998 44113 47554 55497 71331 73996 83957 88226 95108 110994 132339 142662 167914 176452 221988 251871 264678 285324 335828 503742 529356 573469 1007484 1091441 1146938 1720407 2182882 2293876 2602667 3274323 3440814 4365764 5205334 6548646 6881628 7808001 10410668 13097292 15616002 31232004 33834671 67669342 101504013 135338684 203008026 406016052