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168411828 = 223132394517
BaseRepresentation
bin10100000100111…
…00001010110100
3102201220012121010
422002130022310
5321103134303
624413352220
74113322404
oct1202341264
9381805533
10168411828
1187078332
1248498670
1328b77490
141851c804
15ebb9c03
hexa09c2b4

168411828 has 48 divisors (see below), whose sum is σ = 425053440. Its totient is φ = 51590784.

The previous prime is 168411823. The next prime is 168411833. The reversal of 168411828 is 828114861.

168411828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168411823) and next prime (168411833).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168411821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35026 + ... + 39542.

It is an arithmetic number, because the mean of its divisors is an integer number (8855280).

Almost surely, 2168411828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168411828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212526720).

168411828 is an abundant number, since it is smaller than the sum of its proper divisors (256641612).

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

168411828 is a wasteful number, since it uses less digits than its factorization.

168411828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4774 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 168411828 is about 12977.3582827939. The cubic root of 168411828 is about 552.2353412586.

The spelling of 168411828 in words is "one hundred sixty-eight million, four hundred eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 239 478 717 956 1434 2868 3107 4517 6214 9034 9321 12428 13551 18068 18642 27102 37284 54204 58721 117442 176163 234884 352326 704652 1079563 2159126 3238689 4318252 6477378 12954756 14034319 28068638 42102957 56137276 84205914 168411828