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90848736 = 253311379
BaseRepresentation
bin1010110101000…
…11110111100000
320022221121001000
411122203313200
5141224124421
613003112000
72152126056
oct532436740
9208847030
1090848736
1147311000
1226512600
1315a8b364
14c0cc1d6
157e98226
hex56a3de0

90848736 has 192 divisors, whose sum is σ = 295142400. Its totient is φ = 27181440.

The previous prime is 90848711. The next prime is 90848741. The reversal of 90848736 is 63784809.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90848691 and 90848700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149945 + ... + 1150023.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 290848736 is an apocalyptic number.

90848736 is a gapful number since it is divisible by the number (96) 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 90848736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147571200).

90848736 is an abundant number, since it is smaller than the sum of its proper divisors (204293664).

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

90848736 is a wasteful number, since it uses less digits than its factorization.

90848736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 90848736 is about 9531.4603288268. The cubic root of 90848736 is about 449.5447841075.

The spelling of 90848736 in words is "ninety million, eight hundred forty-eight thousand, seven hundred thirty-six".