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3795652896 = 253723126029
BaseRepresentation
bin1110001000111101…
…0001000100100000
3100210112012010220220
43202033101010200
530233141343041
61424350003040
7163026342300
oct34217210440
910715163826
103795652896
111678602222
1289b1a6480
134864a4879
1428015d600
1517335cd66
hexe23d1120

3795652896 has 144 divisors (see below), whose sum is σ = 11964637440. Its totient is φ = 1049448960.

The previous prime is 3795652879. The next prime is 3795652961. The reversal of 3795652896 is 6982565973.

It is a super-4 number, since 4×37956528964 (a number of 39 digits) contains 4444 as substring.

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, 132810 + ... + 158838.

It is an arithmetic number, because the mean of its divisors is an integer number (83087760).

Almost surely, 23795652896 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 3795652896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982318720).

3795652896 is an abundant number, since it is smaller than the sum of its proper divisors (8168984544).

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

3795652896 is a wasteful number, since it uses less digits than its factorization.

3795652896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26087 (or 26072 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 60.

The square root of 3795652896 is about 61608.8702704408. The cubic root of 3795652896 is about 1559.8954696560.

The spelling of 3795652896 in words is "three billion, seven hundred ninety-five million, six hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 4557 4704 5208 6076 6944 9114 10416 12152 18228 20832 24304 26029 36456 48608 52058 72912 78087 104116 145824 156174 182203 208232 312348 364406 416464 546609 624696 728812 806899 832928 1093218 1249392 1275421 1457624 1613798 2186436 2420697 2498784 2550842 2915248 3227596 3826263 4372872 4841394 5101684 5648293 5830496 6455192 7652526 8745744 9682788 10203368 11296586 12910384 15305052 16944879 17491488 19365576 20406736 22593172 25820768 30610104 33889758 38731152 39538051 40813472 45186344 61220208 67779516 77462304 79076102 90372688 118614153 122440416 135559032 158152204 180745376 237228306 271118064 316304408 474456612 542236128 632608816 948913224 1265217632 1897826448 3795652896