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3896919880 = 23571312811
BaseRepresentation
bin1110100001000110…
…0100011101001000
3101001120202001002221
43220101210131020
530440102414010
61442404303424
7165366162310
oct35021443510
911046661087
103896919880
11171a789647
129090a1b74
134a146cc69
1428d7a0440
1517c1b2dda
hexe8464748

3896919880 has 96 divisors (see below), whose sum is σ = 10110179520. Its totient is φ = 1324252800.

The previous prime is 3896919869. The next prime is 3896919881. The reversal of 3896919880 is 889196983.

It is a super-2 number, since 2×38969198802 = 30371969102278428800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3896919881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4804675 + ... + 4805485.

It is an arithmetic number, because the mean of its divisors is an integer number (105314370).

Almost surely, 23896919880 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 3896919880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055089760).

3896919880 is an abundant number, since it is smaller than the sum of its proper divisors (6213259640).

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

3896919880 is a wasteful number, since it uses less digits than its factorization.

3896919880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 61.

The square root of 3896919880 is about 62425.3144165089. The cubic root of 3896919880 is about 1573.6464231764.

The spelling of 3896919880 in words is "three billion, eight hundred ninety-six million, nine hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 262 280 524 655 811 917 1048 1310 1622 1834 2620 3244 3668 4055 4585 5240 5677 6488 7336 8110 9170 11354 16220 17161 18340 22708 28385 32440 34322 36680 45416 56770 68644 85805 106241 113540 120127 137288 171610 212482 227080 240254 343220 424964 480508 531205 600635 686440 743687 849928 961016 1062410 1201270 1487374 2124820 2402540 2974748 3718435 4249640 4805080 5949496 7436870 13917571 14873740 27835142 29747480 55670284 69587855 97422997 111340568 139175710 194845994 278351420 389691988 487114985 556702840 779383976 974229970 1948459940 3896919880