Search a number
-
+
88746240 = 2835112191
BaseRepresentation
bin1010100101000…
…10100100000000
320011222202221210
411102202210000
5140204334430
612450050120
72125221252
oct522424400
9204882853
1088746240
1146105400
1225879940
131550338b
14bb01cd2
157bd02b0
hex54a2900

88746240 has 216 divisors, whose sum is σ = 313173504. Its totient is φ = 21401600.

The previous prime is 88746233. The next prime is 88746241. The reversal of 88746240 is 4264788.

It is a super-2 number, since 2×887462402 = 15751790228275200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88746241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464545 + ... + 464735.

Almost surely, 288746240 is an apocalyptic number.

88746240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

88746240 is an abundant number, since it is smaller than the sum of its proper divisors (224427264).

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

88746240 is a wasteful number, since it uses less digits than its factorization.

88746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 88746240 is about 9420.5222785151. The cubic root of 88746240 is about 446.0497709007.

The spelling of 88746240 in words is "eighty-eight million, seven hundred forty-six thousand, two hundred forty".