Search a number
-
+
90862464 = 2737211439
BaseRepresentation
bin1010110101001…
…11001110000000
320022222021212110
411122213032000
5141230044324
613003255320
72152214100
oct532471600
9208867773
1090862464
1147320350
122651a540
1315a94694
14c0d3200
157e9c329
hex56a7380

90862464 has 192 divisors, whose sum is σ = 306979200. Its totient is φ = 23546880.

The previous prime is 90862451. The next prime is 90862469. The reversal of 90862464 is 46426809.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90862469) 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, 206757 + ... + 207195.

It is an arithmetic number, because the mean of its divisors is an integer number (1598850).

Almost surely, 290862464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90862464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

90862464 is an abundant number, since it is smaller than the sum of its proper divisors (216116736).

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

90862464 is a wasteful number, since it uses less digits than its factorization.

90862464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 90862464 is about 9532.1804431095. The cubic root of 90862464 is about 449.5674262863.

The spelling of 90862464 in words is "ninety million, eight hundred sixty-two thousand, four hundred sixty-four".