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90256192 = 2613831307
BaseRepresentation
bin1010110000100…
…11001101000000
320021211111012221
411120103031000
5141101144232
612542300424
72144110405
oct530231500
9207744187
1090256192
1146a468a4
1226287714
1315911740
14bdb62ac
157dcc897
hex5613340

90256192 has 56 divisors (see below), whose sum is σ = 195352416. Its totient is φ = 41123328.

The previous prime is 90256189. The next prime is 90256223. The reversal of 90256192 is 29165209.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68403 + ... + 69709.

It is an arithmetic number, because the mean of its divisors is an integer number (3488436).

Almost surely, 290256192 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 90256192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97676208).

90256192 is an abundant number, since it is smaller than the sum of its proper divisors (105096224).

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

90256192 is a wasteful number, since it uses less digits than its factorization.

90256192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 90256192 is about 9500.3258891472. The cubic root of 90256192 is about 448.5652940553.

The spelling of 90256192 in words is "ninety million, two hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 166 208 332 416 664 832 1079 1307 1328 2158 2614 2656 4316 5228 5312 8632 10456 16991 17264 20912 33982 34528 41824 67964 69056 83648 108481 135928 216962 271856 433924 543712 867848 1087424 1410253 1735696 2820506 3471392 5641012 6942784 11282024 22564048 45128096 90256192