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990817416 = 233213761353
BaseRepresentation
bin111011000011101…
…010110010001000
32120001101201222100
4323003222302020
54012122124131
6242152353400
733360544341
oct7303526210
92501351870
10990817416
11469321876
122379a5860
1312a3736c4
149583b0c8
155beba7e6
hex3b0eac88

990817416 has 24 divisors (see below), whose sum is σ = 2683464030. Its totient is φ = 330272448.

The previous prime is 990817411. The next prime is 990817427. The reversal of 990817416 is 614718099.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 938196900 + 52620516 = 30630^2 + 7254^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (990817411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6880605 + ... + 6880748.

Almost surely, 2990817416 is an apocalyptic number.

It is an amenable number.

990817416 is an abundant number, since it is smaller than the sum of its proper divisors (1692646614).

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

990817416 is a wasteful number, since it uses less digits than its factorization.

990817416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13761365 (or 13761358 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 990817416 is about 31477.2523578536. The cubic root of 990817416 is about 996.9297217053.

The spelling of 990817416 in words is "nine hundred ninety million, eight hundred seventeen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13761353 27522706 41284059 55045412 82568118 110090824 123852177 165136236 247704354 330272472 495408708 990817416