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3896797464 = 233373183137
BaseRepresentation
bin1110100001000100…
…0110100100011000
3101001120111211012000
43220101012210120
530440040004324
61442401521000
7165365142360
oct35021064430
911046454160
103896797464
11171a70567a
12909043160
134a1429321
1428d76b9a0
1517c18b9c9
hexe8446918

3896797464 has 128 divisors (see below), whose sum is σ = 12769996800. Its totient is φ = 1077442560.

The previous prime is 3896797423. The next prime is 3896797469. The reversal of 3896797464 is 4647976983.

3896797464 is a `hidden beast` number, since 3 + 89 + 6 + 7 + 97 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3896797469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5304 + ... + 88440.

It is an arithmetic number, because the mean of its divisors is an integer number (99765600).

Almost surely, 23896797464 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 3896797464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384998400).

3896797464 is an abundant number, since it is smaller than the sum of its proper divisors (8873199336).

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

3896797464 is a wasteful number, since it uses less digits than its factorization.

3896797464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83190 (or 83180 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The square root of 3896797464 is about 62424.3339091416. Note that the first 3 decimals coincide. The cubic root of 3896797464 is about 1573.6299450754.

The spelling of 3896797464 in words is "three billion, eight hundred ninety-six million, seven hundred ninety-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3348 3906 5208 5859 6696 7812 11718 15624 23436 46872 83137 166274 249411 332548 498822 581959 665096 748233 997644 1163918 1496466 1745877 1995288 2244699 2327836 2577247 2992932 3491754 4489398 4655672 5154494 5237631 5985864 6983508 7731741 8978796 10308988 10475262 13967016 15463482 15712893 17957592 18040729 20617976 20950524 23195223 30926964 31425786 36081458 41901048 46390446 54122187 61853928 62851572 69585669 72162916 92780892 108244374 125703144 139171338 144325832 162366561 185561784 216488748 278342676 324733122 432977496 487099683 556685352 649466244 974199366 1298932488 1948398732 3896797464