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90669456 = 2434431627
BaseRepresentation
bin1010110011110…
…00000110010000
320022121111010000
411121320012100
5141202410311
612555210000
72150451303
oct531700620
9208544100
1090669456
11471a9339
1226446900
1315a27887
14c082b3a
157e60056
hex5678190

90669456 has 100 divisors (see below), whose sum is σ = 268691632. Its totient is φ = 29502144.

The previous prime is 90669437. The next prime is 90669479. The reversal of 90669456 is 65496609.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 54915 + ... + 56541.

Almost surely, 290669456 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 90669456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134345816).

90669456 is an abundant number, since it is smaller than the sum of its proper divisors (178022176).

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

90669456 is a wasteful number, since it uses less digits than its factorization.

90669456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 90669456 is about 9522.0510395608. The cubic root of 90669456 is about 449.2488802958.

It can be divided in two parts, 90669 and 456, that added together give a cube (91125 = 453).

The spelling of 90669456 in words is "ninety million, six hundred sixty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 1627 2064 2322 3096 3254 3483 4644 4881 6192 6508 6966 9288 9762 13016 13932 14643 18576 19524 26032 27864 29286 39048 43929 55728 58572 69961 78096 87858 117144 131787 139922 175716 209883 234288 263574 279844 351432 419766 527148 559688 629649 702864 839532 1054296 1119376 1259298 1679064 1888947 2108592 2518596 3358128 3777894 5037192 5666841 7555788 10074384 11333682 15111576 22667364 30223152 45334728 90669456