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90873342 = 23272197523
BaseRepresentation
bin1010110101010…
…01110111111110
320022222211210100
411122221313332
5141230421332
613003421530
72152260600
oct532516776
9208884710
1090873342
114732853a
12265248a6
1315a99611
14c0d7170
157ea067c
hex56a9dfe

90873342 has 72 divisors (see below), whose sum is σ = 230640696. Its totient is φ = 25782624.

The previous prime is 90873337. The next prime is 90873353. The reversal of 90873342 is 24337809.

It is a junction number, because it is equal to n+sod(n) for n = 90873297 and 90873306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173493 + ... + 174015.

It is an arithmetic number, because the mean of its divisors is an integer number (3203343).

Almost surely, 290873342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90873342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115320348).

90873342 is an abundant number, since it is smaller than the sum of its proper divisors (139767354).

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

90873342 is a wasteful number, since it uses less digits than its factorization.

90873342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 90873342 is about 9532.7510195116. The cubic root of 90873342 is about 449.5853662184.

The spelling of 90873342 in words is "ninety million, eight hundred seventy-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 197 294 394 441 523 591 882 1046 1182 1379 1569 1773 2758 3138 3546 3661 4137 4707 7322 8274 9414 9653 10983 12411 19306 21966 24822 25627 28959 32949 51254 57918 65898 76881 86877 103031 153762 173754 206062 230643 309093 461286 618186 721217 927279 1442434 1854558 2163651 4327302 5048519 6490953 10097038 12981906 15145557 30291114 45436671 90873342