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90533412 = 22324183739
BaseRepresentation
bin1010110010101…
…10111000100100
320022100120111100
411121112320210
5141134032122
612552240100
72146343544
oct531267044
9208316440
1090533412
1147116102
12263a0030
13159aa988
14c049324
157e34aac
hex5656e24

90533412 has 72 divisors (see below), whose sum is σ = 237575520. Its totient is φ = 29047680.

The previous prime is 90533411. The next prime is 90533477. The reversal of 90533412 is 21433509.

90533412 is a `hidden beast` number, since 90 + 533 + 41 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90533411) by changing a digit.

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, 122139 + ... + 122877.

It is an arithmetic number, because the mean of its divisors is an integer number (3299660).

Almost surely, 290533412 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 90533412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118787760).

90533412 is an abundant number, since it is smaller than the sum of its proper divisors (147042108).

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

90533412 is a wasteful number, since it uses less digits than its factorization.

90533412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 868 counting only the distinct ones).

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

The square root of 90533412 is about 9514.9047288977. The cubic root of 90533412 is about 449.0240776238.

The spelling of 90533412 in words is "ninety million, five hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 83 123 164 166 246 249 332 369 492 498 738 739 747 996 1476 1478 1494 2217 2956 2988 3403 4434 6651 6806 8868 10209 13302 13612 20418 26604 30299 30627 40836 60598 61254 61337 90897 121196 122508 122674 181794 184011 245348 272691 363588 368022 545382 552033 736044 1090764 1104066 2208132 2514817 5029634 7544451 10059268 15088902 22633353 30177804 45266706 90533412