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3965542896 = 2437192572417
BaseRepresentation
bin1110110001011101…
…0110000111110000
3101020100212110012010
43230113112013300
531110134333041
61453255202520
7200161362360
oct35427260760
911210773163
103965542896
11175549a087
12928076440
134b2748ab3
142989449a0
1518321aa16
hexec5d61f0

3965542896 has 160 divisors (see below), whose sum is σ = 12377064960. Its totient is φ = 1068761088.

The previous prime is 3965542879. The next prime is 3965542921. The reversal of 3965542896 is 6982455693.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1639480 + ... + 1641896.

It is an arithmetic number, because the mean of its divisors is an integer number (77356656).

Almost surely, 23965542896 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 3965542896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188532480).

3965542896 is an abundant number, since it is smaller than the sum of its proper divisors (8411522064).

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

3965542896 is a wasteful number, since it uses less digits than its factorization.

3965542896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2705 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 57.

The square root of 3965542896 is about 62972.5566894024. The cubic root of 3965542896 is about 1582.8297971207.

The spelling of 3965542896 in words is "three billion, nine hundred sixty-five million, five hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 257 266 304 336 399 456 514 532 771 798 912 1028 1064 1542 1596 1799 2056 2128 2417 3084 3192 3598 4112 4834 4883 5397 6168 6384 7196 7251 9668 9766 10794 12336 14392 14502 14649 16919 19336 19532 21588 28784 29004 29298 33838 34181 38672 39064 43176 45923 50757 58008 58596 67676 68362 78128 86352 91846 101514 102543 116016 117192 135352 136724 137769 183692 203028 205086 234384 270704 273448 275538 321461 367384 406056 410172 546896 551076 621169 642922 734768 812112 820344 964383 1102152 1242338 1285844 1640688 1863507 1928766 2204304 2484676 2571688 3727014 3857532 4348183 4969352 5143376 7454028 7715064 8696366 9938704 11802211 13044549 14908056 15430128 17392732 23604422 26089098 29816112 34785464 35406633 47208844 52178196 69570928 70813266 82615477 94417688 104356392 141626532 165230954 188835376 208712784 247846431 283253064 330461908 495692862 566506128 660923816 991385724 1321847632 1982771448 3965542896