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88064430 = 23519433593
BaseRepresentation
bin1010011111111…
…00000110101110
320010201010200120
411033330012232
5140021030210
612423305410
72116351416
oct517740656
9203633616
1088064430
114578a123
12255ab266
1315324c3c
14b9a5646
157ae8270
hex53fc1ae

88064430 has 64 divisors (see below), whose sum is σ = 227715840. Its totient is φ = 21724416.

The previous prime is 88064407. The next prime is 88064443. The reversal of 88064430 is 3446088.

It is a junction number, because it is equal to n+sod(n) for n = 88064391 and 88064400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22714 + ... + 26306.

It is an arithmetic number, because the mean of its divisors is an integer number (3558060).

Almost surely, 288064430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88064430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113857920).

88064430 is an abundant number, since it is smaller than the sum of its proper divisors (139651410).

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

88064430 is a wasteful number, since it uses less digits than its factorization.

88064430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 88064430 is about 9384.2650218331. The cubic root of 88064430 is about 444.9045454478.

The spelling of 88064430 in words is "eighty-eight million, sixty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1290 1634 2451 3593 4085 4902 7186 8170 10779 12255 17965 21558 24510 35930 53895 68267 107790 136534 154499 204801 308998 341335 409602 463497 682670 772495 926994 1024005 1544990 2048010 2317485 2935481 4634970 5870962 8806443 14677405 17612886 29354810 44032215 88064430