Search a number
-
+
90934336 = 2643173191
BaseRepresentation
bin1010110101110…
…00110001000000
320100002221110101
411122320301000
5141234344321
613005012144
72152633453
oct532706100
9210087411
1090934336
114736a349
1226554054
1315abb2cc
14c11149a
157eb3791
hex56b8c40

90934336 has 56 divisors (see below), whose sum is σ = 186683904. Its totient is φ = 43921920.

The previous prime is 90934301. The next prime is 90934367. The reversal of 90934336 is 63343909.

It is a junction number, because it is equal to n+sod(n) for n = 90934295 and 90934304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476001 + ... + 476191.

Almost surely, 290934336 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 90934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93341952).

90934336 is an abundant number, since it is smaller than the sum of its proper divisors (95749568).

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

90934336 is a wasteful number, since it uses less digits than its factorization.

90934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 37.

The square root of 90934336 is about 9535.9496642967. The cubic root of 90934336 is about 449.6859306462.

It can be divided in two parts, 909 and 34336, that added together give a triangular number (35245 = T265).

The spelling of 90934336 in words is "ninety million, nine hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 173 191 344 346 382 688 692 764 1376 1384 1528 2752 2768 3056 5536 6112 7439 8213 11072 12224 14878 16426 29756 32852 33043 59512 65704 66086 119024 131408 132172 238048 262816 264344 476096 525632 528688 1057376 1420849 2114752 2841698 5683396 11366792 22733584 45467168 90934336