Search a number
-
+
88387380 = 22325491041
BaseRepresentation
bin1010100010010…
…10111100110100
320011022112200200
411101022330310
5140111344010
612434240500
72122165104
oct521127464
9204275620
1088387380
114598a824
1225726130
1315408c33
14ba4b204
157b5dcc0
hex544af34

88387380 has 36 divisors (see below), whose sum is σ = 268108932. Its totient is φ = 23569920.

The previous prime is 88387379. The next prime is 88387381. The reversal of 88387380 is 8378388.

It is an interprime number because it is at equal distance from previous prime (88387379) and next prime (88387381).

It can be written as a sum of positive squares in 2 ways, for example, as 8892324 + 79495056 = 2982^2 + 8916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88387381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245341 + ... + 245700.

Almost surely, 288387380 is an apocalyptic number.

It is an amenable number.

88387380 is an abundant number, since it is smaller than the sum of its proper divisors (179721552).

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

88387380 is a wasteful number, since it uses less digits than its factorization.

88387380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491056 (or 491051 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 88387380 is about 9401.4562701743. The cubic root of 88387380 is about 445.4477335169.

The spelling of 88387380 in words is "eighty-eight million, three hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 491041 982082 1473123 1964164 2455205 2946246 4419369 4910410 5892492 7365615 8838738 9820820 14731230 17677476 22096845 29462460 44193690 88387380