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4054034736 = 243241838273
BaseRepresentation
bin1111000110100011…
…1010100100110000
3101110112101022011200
43301220322210300
531300313102421
61510140011200
7202314504153
oct36150724460
911415338150
104054034736
1117a0440334
12951830b00
134c7b9042b
142a65bbc9a
1518ad9a726
hexf1a3a930

4054034736 has 120 divisors (see below), whose sum is σ = 11763840816. Its totient is φ = 1302343680.

The previous prime is 4054034707. The next prime is 4054034737. The reversal of 4054034736 is 6374304504.

It is a happy number.

4054034736 is a `hidden beast` number, since 40 + 540 + 3 + 4 + 73 + 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 4054034736.

It is not an unprimeable number, because it can be changed into a prime (4054034737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485896 + ... + 494168.

Almost surely, 24054034736 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 4054034736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881920408).

4054034736 is an abundant number, since it is smaller than the sum of its proper divisors (7709806080).

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

4054034736 is a wasteful number, since it uses less digits than its factorization.

4054034736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4054034736 is about 63671.3022954612. The cubic root of 4054034736 is about 1594.5170048574.

The spelling of 4054034736 in words is "four billion, fifty-four million, thirty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 83 123 144 164 166 246 249 328 332 369 492 498 656 664 738 747 984 996 1328 1476 1494 1968 1992 2952 2988 3403 3984 5904 5976 6806 8273 10209 11952 13612 16546 20418 24819 27224 30627 33092 40836 49638 54448 61254 66184 74457 81672 99276 122508 132368 148914 163344 198552 245016 297828 339193 397104 490032 595656 678386 686659 1017579 1191312 1356772 1373318 2035158 2059977 2713544 2746636 3052737 4070316 4119954 5427088 5493272 6105474 6179931 8140632 8239908 10986544 12210948 12359862 16281264 16479816 24421896 24719724 28153019 32959632 48843792 49439448 56306038 84459057 98878896 112612076 168918114 225224152 253377171 337836228 450448304 506754342 675672456 1013508684 1351344912 2027017368 4054034736