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90502074 = 232133710453
BaseRepresentation
bin1010110010011…
…11001110111010
320022021222111200
411121033032322
5141132031244
612551435030
72146153305
oct531171672
9208258450
1090502074
11470a4603
1226385a76
1315999630
14c03bb3c
157e2a669
hex564f3ba

90502074 has 48 divisors (see below), whose sum is σ = 216899592. Its totient is φ = 27091584.

The previous prime is 90502031. The next prime is 90502081. The reversal of 90502074 is 47020509.

90502074 is a `hidden beast` number, since 90 + 502 + 0 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90383049 + 119025 = 9507^2 + 345^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3432 + ... + 13884.

Almost surely, 290502074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90502074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108449796).

90502074 is an abundant number, since it is smaller than the sum of its proper divisors (126397518).

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

90502074 is a wasteful number, since it uses less digits than its factorization.

90502074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 90502074 is about 9513.2578016156. The cubic root of 90502074 is about 448.9722619822.

The spelling of 90502074 in words is "ninety million, five hundred two thousand, seventy-four".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 10453 20906 31359 62718 94077 135889 188154 271778 386761 407667 773522 815334 1160283 1223001 2320566 2446002 3480849 5027893 6961698 10055786 15083679 30167358 45251037 90502074