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90848052 = 22322523557
BaseRepresentation
bin1010110101000…
…11101100110100
320022221120002200
411122203230310
5141224114202
613003104500
72152124061
oct532435464
9208846080
1090848052
1147310539
1226512130
1315a8ac59
14c0cbc68
157e97e1c
hex56a3b34

90848052 has 18 divisors (see below), whose sum is σ = 229643778. Its totient is φ = 30282672.

The previous prime is 90848003. The next prime is 90848057. The reversal of 90848052 is 25084809.

It can be written as a sum of positive squares in only one way, i.e., 82519056 + 8328996 = 9084^2 + 2886^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2523557 = 90848052 / (9 + 0 + 8 + 4 + 8 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 90847998 and 90848016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90848057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1261743 + ... + 1261814.

Almost surely, 290848052 is an apocalyptic number.

It is an amenable number.

90848052 is an abundant number, since it is smaller than the sum of its proper divisors (138795726).

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

90848052 is a wasteful number, since it uses less digits than its factorization.

90848052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523567 (or 2523562 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 90848052 is about 9531.4244475839. The cubic root of 90848052 is about 449.5436558973.

The spelling of 90848052 in words is "ninety million, eight hundred forty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2523557 5047114 7570671 10094228 15141342 22712013 30282684 45424026 90848052