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90882092 = 227191391229
BaseRepresentation
bin1010110101011…
…00000000101100
320100000021210102
411122230000230
5141231211332
613003530232
72152325240
oct532540054
9210007712
1090882092
1147334074
1226529978
1315aa05b2
14c0da420
157ea3062
hex56ac02c

90882092 has 48 divisors (see below), whose sum is σ = 192864000. Its totient is φ = 36604224.

The previous prime is 90882079. The next prime is 90882097. The reversal of 90882092 is 29028809.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (90882097) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73334 + ... + 74562.

It is an arithmetic number, because the mean of its divisors is an integer number (4018000).

Almost surely, 290882092 is an apocalyptic number.

90882092 is the 7784-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90882092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96432000).

90882092 is an abundant number, since it is smaller than the sum of its proper divisors (101981908).

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

90882092 is a wasteful number, since it uses less digits than its factorization.

90882092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 90882092 is about 9533.2099525816. The cubic root of 90882092 is about 449.5997956269.

The spelling of 90882092 in words is "ninety million, eight hundred eighty-two thousand, ninety-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 139 266 278 532 556 973 1229 1946 2458 2641 3892 4916 5282 8603 10564 17206 18487 23351 34412 36974 46702 73948 93404 163457 170831 326914 341662 653828 683324 1195817 2391634 3245789 4783268 6491578 12983156 22720523 45441046 90882092