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90963552 = 2531098693
BaseRepresentation
bin1010110101111…
…11111001100000
320100011102112110
411122333321200
5141241313202
613005355320
72153114601
oct532777140
9210142473
1090963552
114738a299
1226568b40
1315acb6b4
14c11bda8
157ebc26c
hex56bfe60

90963552 has 48 divisors (see below), whose sum is σ = 240997680. Its totient is φ = 30039552.

The previous prime is 90963491. The next prime is 90963557. The reversal of 90963552 is 25536909.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90963552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90963557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6118 + ... + 14810.

It is an arithmetic number, because the mean of its divisors is an integer number (5020785).

Almost surely, 290963552 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 90963552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120498840).

90963552 is an abundant number, since it is smaller than the sum of its proper divisors (150034128).

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

90963552 is a wasteful number, since it uses less digits than its factorization.

90963552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8815 (or 8807 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 90963552 is about 9537.4814285533. The cubic root of 90963552 is about 449.7340848710.

The spelling of 90963552 in words is "ninety million, nine hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 8693 10464 17386 26079 34772 52158 69544 104316 139088 208632 278176 417264 834528 947537 1895074 2842611 3790148 5685222 7580296 11370444 15160592 22740888 30321184 45481776 90963552