[go: up one dir, main page]

Search a number
-
+
88386480 = 243257131971
BaseRepresentation
bin1010100010010…
…10101110110000
320011022111110100
411101022232300
5140111331410
612434232400
72122162350
oct521125660
9204274410
1088386480
114598a086
1225725700
13154086c0
14ba4ab60
157b5d8c0
hex544abb0

88386480 has 480 divisors, whose sum is σ = 389975040. Its totient is φ = 17418240.

The previous prime is 88386449. The next prime is 88386481. The reversal of 88386480 is 8468388.

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

It is not an unprimeable number, because it can be changed into a prime (88386481) 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, 1244845 + ... + 1244915.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 288386480 is an apocalyptic number.

88386480 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 88386480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

88386480 is an abundant number, since it is smaller than the sum of its proper divisors (301588560).

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

88386480 is a wasteful number, since it uses less digits than its factorization.

88386480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 88386480 is about 9401.4084051274. The cubic root of 88386480 is about 445.4462215955.

The spelling of 88386480 in words is "eighty-eight million, three hundred eighty-six thousand, four hundred eighty".