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1996416288 = 25332310667
BaseRepresentation
bin111011011111110…
…1110010100100000
312011010121110022000
41312333232110200
513042040310123
6530034044000
7100321154436
oct16677562440
95133543260
101996416288
11934a1a119
12478719600
1325a7c1119
1414d204d56
15ba405b43
hex76fee520

1996416288 has 48 divisors (see below), whose sum is σ = 5822883360. Its totient is φ = 665471808.

The previous prime is 1996416287. The next prime is 1996416293. The reversal of 1996416288 is 8826146991.

1996416288 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 4 + 1 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (1996416287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1154470 + ... + 1156197.

It is an arithmetic number, because the mean of its divisors is an integer number (121310070).

Almost surely, 21996416288 is an apocalyptic number.

1996416288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1996416288 is an abundant number, since it is smaller than the sum of its proper divisors (3826467072).

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

1996416288 is a wasteful number, since it uses less digits than its factorization.

1996416288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310686 (or 2310672 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1996416288 is about 44681.2744670516. The cubic root of 1996416288 is about 1259.1680676061.

The spelling of 1996416288 in words is "one billion, nine hundred ninety-six million, four hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2310667 4621334 6932001 9242668 13864002 18485336 20796003 27728004 36970672 41592006 55456008 62388009 73941344 83184012 110912016 124776018 166368024 221824032 249552036 332736048 499104072 665472096 998208144 1996416288