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2929486464 = 27322542957
BaseRepresentation
bin1010111010011100…
…0110101010000000
321120011100022221200
42232213012222000
521444422031324
61202405021200
7132411136602
oct25647065200
97504308850
102929486464
1112736895a3
126990b4800
13378bc6058
141db0cd172
151222b5ec9
hexae9c6a80

2929486464 has 48 divisors (see below), whose sum is σ = 8429905770. Its totient is φ = 976495104.

The previous prime is 2929486463. The next prime is 2929486477. The reversal of 2929486464 is 4646849292.

2929486464 is a `hidden beast` number, since 2 + 92 + 94 + 8 + 6 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2007756864 + 921729600 = 44808^2 + 30360^2 .

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2929486464.

It is not an unprimeable number, because it can be changed into a prime (2929486463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1270327 + ... + 1272630.

Almost surely, 22929486464 is an apocalyptic number.

2929486464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2929486464 is an abundant number, since it is smaller than the sum of its proper divisors (5500419306).

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

2929486464 is a wasteful number, since it uses less digits than its factorization.

2929486464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542977 (or 2542962 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2929486464 is about 54124.7306136483. The cubic root of 2929486464 is about 1430.8600730176.

The spelling of 2929486464 in words is "two billion, nine hundred twenty-nine million, four hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2542957 5085914 7628871 10171828 15257742 20343656 22886613 30515484 40687312 45773226 61030968 81374624 91546452 122061936 162749248 183092904 244123872 325498496 366185808 488247744 732371616 976495488 1464743232 2929486464