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3994536448 = 2972891789
BaseRepresentation
bin1110111000010111…
…1100101000000000
3101022101102110212101
43232011330220000
531140100131243
61500212440144
7200662666600
oct35605745000
911271373771
103994536448
11176a8a23a1
12935919054
134b875a946
1429c730c00
15185a4654d
hexee17ca00

3994536448 has 120 divisors (see below), whose sum is σ = 9393902100. Its totient is φ = 1691762688.

The previous prime is 3994536443. The next prime is 3994536463. The reversal of 3994536448 is 8446354993.

It can be written as a sum of positive squares in 2 ways, for example, as 3947860224 + 46676224 = 62832^2 + 6832^2 .

It is not an unprimeable number, because it can be changed into a prime (3994536443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2231938 + ... + 2233726.

Almost surely, 23994536448 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 3994536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696951050).

3994536448 is an abundant number, since it is smaller than the sum of its proper divisors (5399365652).

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

3994536448 is an equidigital number, since it uses as much as digits as its factorization.

3994536448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1887 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 55.

The square root of 3994536448 is about 63202.3452729406. The cubic root of 3994536448 is about 1586.6779853095.

The spelling of 3994536448 in words is "three billion, nine hundred ninety-four million, five hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 256 356 392 448 512 623 712 784 896 1246 1424 1568 1789 1792 2492 2848 3136 3578 3584 4361 4984 5696 6272 7156 8722 9968 11392 12523 12544 14312 17444 19936 22784 25046 25088 28624 34888 39872 45568 50092 57248 69776 79744 87661 100184 114496 139552 159221 159488 175322 200368 228992 279104 318442 318976 350644 400736 457984 558208 636884 701288 801472 915968 1114547 1116416 1273768 1402576 1602944 2229094 2232832 2547536 2805152 3205888 4458188 5095072 5610304 6411776 7801829 8916376 10190144 11220608 15603658 17832752 20380288 22441216 31207316 35665504 40760576 44882432 62414632 71331008 81521152 124829264 142662016 249658528 285324032 499317056 570648064 998634112 1997268224 3994536448