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145779968 = 285211093
BaseRepresentation
bin10001011000001…
…10110100000000
3101011022101112002
420230012310000
5244304424333
622244323132
73420052325
oct1054066400
9334271462
10145779968
117531a714
12409a34a8
1324282149
141550ab4c
15cbe90e8
hex8b06d00

145779968 has 36 divisors (see below), whose sum is σ = 291815748. Its totient is φ = 72683520.

The previous prime is 145779967. The next prime is 145779983. The reversal of 145779968 is 869977541.

It can be written as a sum of positive squares in 2 ways, for example, as 104203264 + 41576704 = 10208^2 + 6448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145779967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132830 + ... + 133922.

It is an arithmetic number, because the mean of its divisors is an integer number (8105993).

Almost surely, 2145779968 is an apocalyptic number.

It is an amenable number.

145779968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

145779968 is an equidigital number, since it uses as much as digits as its factorization.

145779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1616 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 56.

The square root of 145779968 is about 12073.9375516026. The cubic root of 145779968 is about 526.2990872791.

The spelling of 145779968 in words is "one hundred forty-five million, seven hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 521 1042 1093 2084 2186 4168 4372 8336 8744 16672 17488 33344 34976 66688 69952 133376 139904 279808 569453 1138906 2277812 4555624 9111248 18222496 36444992 72889984 145779968