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151273728 = 283265657
BaseRepresentation
bin10010000010001…
…00000100000000
3101112122111112200
421001010010000
5302211224403
623002153200
73514543164
oct1101040400
9345574480
10151273728
1178432211
12427b2800
13254568a8
141613aca4
15d431ca3
hex9044100

151273728 has 54 divisors (see below), whose sum is σ = 436166094. Its totient is φ = 50423808.

The previous prime is 151273679. The next prime is 151273747. The reversal of 151273728 is 827372151.

151273728 is a `hidden beast` number, since 1 + 512 + 73 + 72 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150994944 + 278784 = 12288^2 + 528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151273692 and 151273701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30525 + ... + 35132.

Almost surely, 2151273728 is an apocalyptic number.

151273728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

151273728 is an abundant number, since it is smaller than the sum of its proper divisors (284892366).

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

151273728 is an equidigital number, since it uses as much as digits as its factorization.

151273728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65679 (or 65662 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 151273728 is about 12299.3385187985. The cubic root of 151273728 is about 532.8289787555.

The spelling of 151273728 in words is "one hundred fifty-one million, two hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 65657 131314 196971 262628 393942 525256 590913 787884 1050512 1181826 1575768 2101024 2363652 3151536 4202048 4727304 6303072 8404096 9454608 12606144 16808192 18909216 25212288 37818432 50424576 75636864 151273728