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16942752 = 253289661
BaseRepresentation
bin100000010100…
…0011010100000
31011212210002100
41000220122200
513314132002
61403050400
7264003531
oct100503240
934783070
1016942752
119622382
125810a00
1336829c8
142370688
15174a11c
hex10286a0

16942752 has 72 divisors (see below), whose sum is σ = 48796020. Its totient is φ = 5575680.

The previous prime is 16942741. The next prime is 16942753. The reversal of 16942752 is 25724961.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 1296 = 4116^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (16942753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25302 + ... + 25962.

Almost surely, 216942752 is an apocalyptic number.

16942752 is a gapful number since it is divisible by the number (12) 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 16942752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24398010).

16942752 is an abundant number, since it is smaller than the sum of its proper divisors (31853268).

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

16942752 is a wasteful number, since it uses less digits than its factorization.

16942752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 16942752 is about 4116.1574313916. The cubic root of 16942752 is about 256.8392055902.

The spelling of 16942752 in words is "sixteen million, nine hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 661 712 801 1068 1322 1424 1602 1983 2136 2644 2848 3204 3966 4272 5288 5949 6408 7932 8544 10576 11898 12816 15864 21152 23796 25632 31728 47592 58829 63456 95184 117658 176487 190368 235316 352974 470632 529461 705948 941264 1058922 1411896 1882528 2117844 2823792 4235688 5647584 8471376 16942752