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90403432 = 23722337271
BaseRepresentation
bin1010110001101…
…11001001101000
320022002222012021
411120313021220
5141120402212
612545354224
72145262600
oct530671150
9208088167
1090403432
1147037489
1226338974
1315963772
14c013c00
157e0b307
hex5637268

90403432 has 96 divisors (see below), whose sum is σ = 212094720. Its totient is φ = 35925120.

The previous prime is 90403429. The next prime is 90403447. The reversal of 90403432 is 23430409.

It is a junction number, because it is equal to n+sod(n) for n = 90403397 and 90403406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333457 + ... + 333727.

It is an arithmetic number, because the mean of its divisors is an integer number (2209320).

Almost surely, 290403432 is an apocalyptic number.

90403432 is a gapful number since it is divisible by the number (92) 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 90403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106047360).

90403432 is an abundant number, since it is smaller than the sum of its proper divisors (121691288).

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

90403432 is a wasteful number, since it uses less digits than its factorization.

90403432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 90403432 is about 9508.0719391473. The cubic root of 90403432 is about 448.8090847940.

The spelling of 90403432 in words is "ninety million, four hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 37 46 49 56 74 92 98 148 161 184 196 259 271 296 322 392 518 542 644 851 1036 1084 1127 1288 1702 1813 1897 2072 2168 2254 3404 3626 3794 4508 5957 6233 6808 7252 7588 9016 10027 11914 12466 13279 14504 15176 20054 23828 24932 26558 40108 41699 43631 47656 49864 53116 70189 80216 83398 87262 106232 140378 166796 174524 230621 280756 305417 333592 349048 461242 491323 561512 610834 922484 982646 1221668 1614347 1844968 1965292 2443336 3228694 3930584 6457388 11300429 12914776 22600858 45201716 90403432