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88382745 = 3551117389
BaseRepresentation
bin1010100010010…
…01110100011001
320011022022100000
411101021310121
5140111221440
612434203213
72122145433
oct521116431
9204268300
1088382745
11459872a0
1225723509
1315406aa9
14ba49653
157b5c730
hex5449d19

88382745 has 96 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 40227840.

The previous prime is 88382743. The next prime is 88382753. The reversal of 88382745 is 54728388.

It is not a de Polignac number, because 88382745 - 21 = 88382743 is a prime.

It is a super-2 number, since 2×883827452 = 15623019227470050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 88382745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88382743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227011 + ... + 227399.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 288382745 is an apocalyptic number.

88382745 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

88382745 is an abundant number, since it is smaller than the sum of its proper divisors (95597415).

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

88382745 is a wasteful number, since it uses less digits than its factorization.

88382745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 88382745 is about 9401.2097625784. The cubic root of 88382745 is about 445.4399470119.

The spelling of 88382745 in words is "eighty-eight million, three hundred eighty-two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 243 255 297 389 405 459 495 561 765 891 935 1167 1215 1377 1485 1683 1945 2295 2673 2805 3501 4131 4279 4455 5049 5835 6613 6885 8415 10503 12837 13365 15147 17505 19839 20655 21395 25245 31509 33065 38511 45441 52515 59517 64185 72743 75735 94527 99195 115533 157545 178551 192555 218229 227205 297585 346599 363715 472635 535653 577665 654687 892755 1039797 1091145 1606959 1732995 1964061 2678265 3273435 5198985 5892183 8034795 9820305 17676549 29460915 88382745