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4145934048 = 253311393123
BaseRepresentation
bin1111011100011101…
…1110111011100000
3101200221022021022220
43313013132323200
531442324342143
61523221431040
7204511600164
oct36707367340
911627267286
104145934048
1118382a9683
1297856b480
13510c28a19
142b48a0ca4
15193e9ed83
hexf71deee0

4145934048 has 48 divisors (see below), whose sum is σ = 11234151936. Its totient is φ = 1337397120.

The previous prime is 4145934031. The next prime is 4145934049. The reversal of 4145934048 is 8404395414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145934049) 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, 693586 + ... + 699537.

It is an arithmetic number, because the mean of its divisors is an integer number (234044832).

Almost surely, 24145934048 is an apocalyptic number.

4145934048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4145934048 is an abundant number, since it is smaller than the sum of its proper divisors (7088217888).

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

4145934048 is a wasteful number, since it uses less digits than its factorization.

4145934048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393167 (or 1393159 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4145934048 is about 64388.9279923187. The cubic root of 4145934048 is about 1606.4755855545.

The spelling of 4145934048 in words is "four billion, one hundred forty-five million, nine hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 1393123 2786246 4179369 5572492 8358738 11144984 16717476 22289968 33434952 43186813 44579936 66869904 86373626 129560439 133739808 172747252 259120878 345494504 518241756 690989008 1036483512 1381978016 2072967024 4145934048