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3849985280 = 2854173361
BaseRepresentation
bin1110010101111010…
…0001110100000000
3100221022102111221102
43211132201310000
530341044012110
61434010313532
7164256222611
oct34536416400
910838374842
103849985280
1116a6241a19
128b54288a8
13494818bcb
14287463c08
15177ee15a5
hexe57a1d00

3849985280 has 72 divisors (see below), whose sum is σ = 9446971464. Its totient is φ = 1502412800.

The previous prime is 3849985267. The next prime is 3849985313. The reversal of 3849985280 is 825899483.

It can be written as a sum of positive squares in 4 ways, for example, as 190219264 + 3659766016 = 13792^2 + 60496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15800 + ... + 89160.

It is an arithmetic number, because the mean of its divisors is an integer number (131207937).

Almost surely, 23849985280 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 3849985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723485732).

3849985280 is an abundant number, since it is smaller than the sum of its proper divisors (5596986184).

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

3849985280 is an equidigital number, since it uses as much as digits as its factorization.

3849985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73423 (or 73409 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 56.

The square root of 3849985280 is about 62048.2496127006. The cubic root of 3849985280 is about 1567.3032097721.

The spelling of 3849985280 in words is "three billion, eight hundred forty-nine million, nine hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1640 2624 3280 5248 6560 10496 13120 26240 52480 73361 146722 293444 366805 586888 733610 1173776 1467220 2347552 2934440 3007801 4695104 5868880 6015602 9390208 11737760 12031204 15039005 18780416 23475520 24062408 30078010 46951040 48124816 60156020 93902080 96249632 120312040 192499264 240624080 384998528 481248160 769997056 962496320 1924992640 3849985280