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90144981 = 35231272
BaseRepresentation
bin1010101111110…
…00000011010101
320021121211200000
411113320003111
5141034114411
612540041513
72143135233
oct527700325
9207554600
1090144981
1146980293
1226233299
13158a2c34
14bd87953
157da9956
hex55f80d5

90144981 has 36 divisors (see below), whose sum is σ = 142021152. Its totient is φ = 57031128.

The previous prime is 90144961. The next prime is 90144991. The reversal of 90144981 is 18944109.

It is not a de Polignac number, because 90144981 - 221 = 88047829 is a prime.

It is a super-2 number, since 2×901449812 = 16252235198980722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90144961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 709740 + ... + 709866.

It is an arithmetic number, because the mean of its divisors is an integer number (3945032).

Almost surely, 290144981 is an apocalyptic number.

It is an amenable number.

90144981 is a deficient number, since it is larger than the sum of its proper divisors (51876171).

90144981 is an equidigital number, since it uses as much as digits as its factorization.

90144981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 90144981 is about 9494.4710753154. The cubic root of 90144981 is about 448.3809820543.

It can be divided in two parts, 90144 and 981, that added together give a cube (91125 = 453).

The spelling of 90144981 in words is "ninety million, one hundred forty-four thousand, nine hundred eighty-one".

Divisors: 1 3 9 23 27 69 81 127 207 243 381 621 1143 1863 2921 3429 5589 8763 10287 16129 26289 30861 48387 78867 145161 236601 370967 435483 709803 1112901 1306449 3338703 3919347 10016109 30048327 90144981