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3681452448 = 253225035107
BaseRepresentation
bin1101101101101110…
…1000000110100000
3100111120022011100200
43123123220012200
530014422434243
61405150145200
7160141554342
oct33333500640
910446264320
103681452448
11161a0a1793
12868ab2200
1346892b63b
1426cd13292
15168300ad3
hexdb6e81a0

3681452448 has 72 divisors (see below), whose sum is σ = 10475363808. Its totient is φ = 1226420352.

The previous prime is 3681452413. The next prime is 3681452449. The reversal of 3681452448 is 8442541863.

3681452448 is a `hidden beast` number, since 3 + 6 + 81 + 4 + 524 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3681452449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718311 + ... + 723417.

It is an arithmetic number, because the mean of its divisors is an integer number (145491164).

Almost surely, 23681452448 is an apocalyptic number.

It is an amenable number.

3681452448 is an abundant number, since it is smaller than the sum of its proper divisors (6793911360).

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

3681452448 is a wasteful number, since it uses less digits than its factorization.

3681452448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7615 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 3681452448 is about 60674.9738195246. The cubic root of 3681452448 is about 1544.0916167101.

The spelling of 3681452448 in words is "three billion, six hundred eighty-one million, four hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2503 5006 5107 7509 10012 10214 15018 15321 20024 20428 22527 30036 30642 40048 40856 45054 45963 60072 61284 80096 81712 90108 91926 120144 122568 163424 180216 183852 240288 245136 360432 367704 490272 720864 735408 1470816 12782821 25565642 38348463 51131284 76696926 102262568 115045389 153393852 204525136 230090778 306787704 409050272 460181556 613575408 920363112 1227150816 1840726224 3681452448