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90543312 = 2433316761
BaseRepresentation
bin1010110010110…
…01010011010000
320022101002002000
411121121103100
5141134341222
612552354000
72146414446
oct531312320
9208332060
1090543312
1147122592
12263a5900
13159b2332
14c04cb96
157e379ac
hex56594d0

90543312 has 80 divisors (see below), whose sum is σ = 268316160. Its totient is φ = 29203200.

The previous prime is 90543223. The next prime is 90543317. The reversal of 90543312 is 21334509.

90543312 is a `hidden beast` number, since 90 + 543 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90543317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10012 + ... + 16772.

It is an arithmetic number, because the mean of its divisors is an integer number (3353952).

Almost surely, 290543312 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 90543312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134158080).

90543312 is an abundant number, since it is smaller than the sum of its proper divisors (177772848).

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

90543312 is a wasteful number, since it uses less digits than its factorization.

90543312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90543312 is about 9515.4249510991. The cubic root of 90543312 is about 449.0404442382.

The spelling of 90543312 in words is "ninety million, five hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 6761 13392 13522 20283 27044 40566 54088 60849 81132 108176 121698 162264 182547 209591 243396 324528 365094 419182 486792 628773 730188 838364 973584 1257546 1460376 1676728 1886319 2515092 2920752 3353456 3772638 5030184 5658957 7545276 10060368 11317914 15090552 22635828 30181104 45271656 90543312