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2406040956 = 2233112184117
BaseRepresentation
bin1000111101101001…
…0100010101111100
320012200101112201000
42033122110111330
514411421302311
61034425450300
7113424003444
oct21732242574
96180345630
102406040956
111025169200
12571940990
132c4622497
1418b793124
15e136b056
hex8f69457c

2406040956 has 72 divisors (see below), whose sum is σ = 6856554320. Its totient is φ = 729099360.

The previous prime is 2406040951. The next prime is 2406040979. The reversal of 2406040956 is 6590406042.

2406040956 is a `hidden beast` number, since 2 + 40 + 604 + 0 + 9 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2406040956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406040951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78991 + ... + 105126.

Almost surely, 22406040956 is an apocalyptic number.

It is an amenable number.

2406040956 is an abundant number, since it is smaller than the sum of its proper divisors (4450513364).

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

2406040956 is a wasteful number, since it uses less digits than its factorization.

2406040956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184152 (or 184133 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2406040956 is about 49051.4113558417. The cubic root of 2406040956 is about 1339.9882964746.

Adding to 2406040956 its reverse (6590406042), we get a palindrome (8996446998).

The spelling of 2406040956 in words is "two billion, four hundred six million, forty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 184117 368234 552351 736468 1104702 1657053 2025287 2209404 3314106 4050574 4971159 6075861 6628212 8101148 9942318 12151722 18227583 19884636 22278157 24303444 36455166 44556314 54682749 66834471 72910332 89112628 109365498 133668942 200503413 218730996 267337884 401006826 601510239 802013652 1203020478 2406040956