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4152768 = 26343503
BaseRepresentation
bin1111110101110111000000
321210222112020
433311313000
52030342033
6225001440
750204124
oct17656700
97728466
104152768
112387044
121483280
13b25279
147a1584
155706b3
hex3f5dc0

4152768 has 56 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 1349376.

The previous prime is 4152763. The next prime is 4152787. The reversal of 4152768 is 8672514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8005 + ... + 8507.

It is an arithmetic number, because the mean of its divisors is an integer number (201168).

Almost surely, 24152768 is an apocalyptic number.

4152768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

4152768 is an abundant number, since it is smaller than the sum of its proper divisors (7112640).

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

4152768 is a wasteful number, since it uses less digits than its factorization.

4152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 4152768 is about 2037.8341443798. The cubic root of 4152768 is about 160.7357779229.

The spelling of 4152768 in words is "four million, one hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 503 516 688 1006 1032 1376 1509 2012 2064 2752 3018 4024 4128 6036 8048 8256 12072 16096 21629 24144 32192 43258 48288 64887 86516 96576 129774 173032 259548 346064 519096 692128 1038192 1384256 2076384 4152768