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90468798 = 23721723787
BaseRepresentation
bin1010110010001…
…11000110111110
320022020021212020
411121013012332
5141130000143
612551021010
72145654300
oct531070676
9208207766
1090468798
1147081602
122636a766
1315987444
14c02d970
157e20883
hex56471be

90468798 has 96 divisors (see below), whose sum is σ = 232844544. Its totient is φ = 23240448.

The previous prime is 90468797. The next prime is 90468809. The reversal of 90468798 is 89786409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 90468798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90468797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114561 + ... + 115347.

It is an arithmetic number, because the mean of its divisors is an integer number (2425464).

Almost surely, 290468798 is an apocalyptic number.

90468798 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90468798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116422272).

90468798 is an abundant number, since it is smaller than the sum of its proper divisors (142375746).

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

90468798 is a wasteful number, since it uses less digits than its factorization.

90468798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 90468798 is about 9511.5087131327. The cubic root of 90468798 is about 448.9172288699.

The spelling of 90468798 in words is "ninety million, four hundred sixty-eight thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 49 51 69 98 102 119 138 147 161 238 294 322 357 391 483 714 782 787 833 966 1127 1173 1574 1666 2254 2346 2361 2499 2737 3381 4722 4998 5474 5509 6762 8211 11018 13379 16422 16527 18101 19159 26758 33054 36202 38318 38563 40137 54303 57477 77126 80274 93653 108606 114954 115689 126707 187306 231378 253414 280959 307717 380121 561918 615434 655571 760242 886949 923151 1311142 1773898 1846302 1966713 2154019 2660847 3933426 4308038 5321694 6462057 12924114 15078133 30156266 45234399 90468798