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146793672 = 23322038801
BaseRepresentation
bin10001011111111…
…10010011001000
3101020012220001200
420233332103020
5300034344142
622322144200
73431503614
oct1057762310
9336186050
10146793672
1175952293
12411b2060
132454867c
14156d2344
15cd4964c
hex8bfe4c8

146793672 has 24 divisors (see below), whose sum is σ = 397566390. Its totient is φ = 48931200.

The previous prime is 146793671. The next prime is 146793683. The reversal of 146793672 is 276397641.

It can be written as a sum of positive squares in only one way, i.e., 84162276 + 62631396 = 9174^2 + 7914^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (146793671) 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, 1019329 + ... + 1019472.

Almost surely, 2146793672 is an apocalyptic number.

146793672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146793672 is an abundant number, since it is smaller than the sum of its proper divisors (250772718).

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

146793672 is a wasteful number, since it uses less digits than its factorization.

146793672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038813 (or 2038806 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 146793672 is about 12115.8438418461. The cubic root of 146793672 is about 527.5161717974.

The spelling of 146793672 in words is "one hundred forty-six million, seven hundred ninety-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2038801 4077602 6116403 8155204 12232806 16310408 18349209 24465612 36698418 48931224 73396836 146793672