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88234820 = 225291491021
BaseRepresentation
bin1010100001001…
…01101101000100
320011000210102022
411100211231010
5140042003240
612431102312
72120661242
oct520455504
9204023368
1088234820
1145896143
1225671998
131538466b
14ba0b792
157b2d9b5
hex5425b44

88234820 has 48 divisors (see below), whose sum is σ = 193158000. Its totient is φ = 33815040.

The previous prime is 88234801. The next prime is 88234823. The reversal of 88234820 is 2843288.

It can be written as a sum of positive squares in 8 ways, for example, as 4804864 + 83429956 = 2192^2 + 9134^2 .

It is not an unprimeable number, because it can be changed into a prime (88234823) 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, 85910 + ... + 86930.

It is an arithmetic number, because the mean of its divisors is an integer number (4024125).

Almost surely, 288234820 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 88234820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96579000).

88234820 is an abundant number, since it is smaller than the sum of its proper divisors (104923180).

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

88234820 is a wasteful number, since it uses less digits than its factorization.

88234820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 88234820 is about 9393.3391294044. The cubic root of 88234820 is about 445.1912993109.

The spelling of 88234820 in words is "eighty-eight million, two hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 149 290 298 580 596 745 1021 1490 2042 2980 4084 4321 5105 8642 10210 17284 20420 21605 29609 43210 59218 86420 118436 148045 152129 296090 304258 592180 608516 760645 1521290 3042580 4411741 8823482 17646964 22058705 44117410 88234820