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90054848 = 2613176367
BaseRepresentation
bin1010101111000…
…10000011000000
320021110021000202
411113202003000
5141023223343
612534104332
72142311402
oct527420300
9207407022
1090054848
11469195a4
12261ab0a8
1315870bc0
14bd62b72
157d8cdb8
hex55e20c0

90054848 has 56 divisors (see below), whose sum is σ = 203801472. Its totient is φ = 39112704.

The previous prime is 90054841. The next prime is 90054859. The reversal of 90054848 is 84845009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90054841) 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, 10961 + ... + 17327.

It is an arithmetic number, because the mean of its divisors is an integer number (3639312).

Almost surely, 290054848 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 90054848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101900736).

90054848 is an abundant number, since it is smaller than the sum of its proper divisors (113746624).

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

90054848 is a wasteful number, since it uses less digits than its factorization.

90054848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 90054848 is about 9489.7232836369. The cubic root of 90054848 is about 448.2314917569.

The spelling of 90054848 in words is "ninety million, fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 6367 7072 12734 14144 25468 50936 82771 101872 108239 165542 203744 216478 331084 407488 432956 662168 865912 1324336 1407107 1731824 2648672 2814214 3463648 5297344 5628428 6927296 11256856 22513712 45027424 90054848