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2484091464 = 233196781307
BaseRepresentation
bin1001010000010000…
…0011101001001000
320102010020220212120
42110010003221020
520041411411324
61050254411240
7115362300111
oct22404035110
96363226776
102484091464
111065228758
12593b00b20
1330784c40a
14197cad208
15e8137179
hex94103a48

2484091464 has 64 divisors (see below), whose sum is σ = 6634732800. Its totient is φ = 772732224.

The previous prime is 2484091457. The next prime is 2484091481. The reversal of 2484091464 is 4641904842.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10102 + ... + 71205.

It is an arithmetic number, because the mean of its divisors is an integer number (103667700).

Almost surely, 22484091464 is an apocalyptic number.

2484091464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2484091464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317366400).

2484091464 is an abundant number, since it is smaller than the sum of its proper divisors (4150641336).

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

2484091464 is a wasteful number, since it uses less digits than its factorization.

2484091464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81402 (or 81398 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2484091464 is about 49840.6607500342. The cubic root of 2484091464 is about 1354.3238528693.

The spelling of 2484091464 in words is "two billion, four hundred eighty-four million, ninety-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 228 268 402 456 536 804 1273 1608 2546 3819 5092 7638 10184 15276 30552 81307 162614 243921 325228 487842 650456 975684 1544833 1951368 3089666 4634499 5447569 6179332 9268998 10895138 12358664 16342707 18537996 21790276 32685414 37075992 43580552 65370828 103503811 130741656 207007622 310511433 414015244 621022866 828030488 1242045732 2484091464