Search a number
-
+
4074556896 = 2532531731543
BaseRepresentation
bin1111001011011100…
…1100110111100000
3101111221222221021200
43302313030313200
531321041310041
61512151521200
7202654106424
oct36267146740
911457887250
104074556896
111800a879a3
12958689200
134cc1c7417
142a9200b84
1518caa11b6
hexf2dccde0

4074556896 has 144 divisors (see below), whose sum is σ = 11881580256. Its totient is φ = 1323998208.

The previous prime is 4074556873. The next prime is 4074556907. The reversal of 4074556896 is 6986554704.

4074556896 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 556 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2639901 + ... + 2641443.

It is an arithmetic number, because the mean of its divisors is an integer number (82510974).

Almost surely, 24074556896 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 4074556896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940790128).

4074556896 is an abundant number, since it is smaller than the sum of its proper divisors (7807023360).

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

4074556896 is a wasteful number, since it uses less digits than its factorization.

4074556896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4074556896 is about 63832.2559212817. The cubic root of 4074556896 is about 1597.2030426592.

The spelling of 4074556896 in words is "four billion, seventy-four million, five hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 173 212 288 318 346 424 477 519 636 692 848 954 1038 1272 1384 1543 1557 1696 1908 2076 2544 2768 3086 3114 3816 4152 4629 5088 5536 6172 6228 7632 8304 9169 9258 12344 12456 13887 15264 16608 18338 18516 24688 24912 27507 27774 36676 37032 49376 49824 55014 55548 73352 74064 81779 82521 110028 111096 146704 148128 163558 165042 220056 222192 245337 266939 293408 327116 330084 440112 444384 490674 533878 654232 660168 736011 800817 880224 981348 1067756 1308464 1320336 1472022 1601634 1962696 2135512 2402451 2616928 2640672 2944044 3203268 3925392 4271024 4804902 5888088 6406536 7850784 8542048 9609804 11776176 12813072 14147767 19219608 23552352 25626144 28295534 38439216 42443301 56591068 76878432 84886602 113182136 127329903 169773204 226364272 254659806 339546408 452728544 509319612 679092816 1018639224 1358185632 2037278448 4074556896