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1036416042 = 232191301459
BaseRepresentation
bin111101110001100…
…111010000101010
32200020012101112100
4331301213100222
54110310303132
6250501554230
734453251054
oct7561472052
92606171470
101036416042
11492036792
1224b115976
1313694a63c
149b90a8d4
1560ec637c
hex3dc6742a

1036416042 has 24 divisors (see below), whose sum is σ = 2257332480. Its totient is φ = 343662120.

The previous prime is 1036416023. The next prime is 1036416049. The reversal of 1036416042 is 2406146301.

1036416042 is a `hidden beast` number, since 10 + 3 + 6 + 41 + 604 + 2 = 666.

It is a super-3 number, since 3×10364160423 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1036415997 and 1036416015.

It is not an unprimeable number, because it can be changed into a prime (1036416049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147292 + ... + 154167.

It is an arithmetic number, because the mean of its divisors is an integer number (94055520).

Almost surely, 21036416042 is an apocalyptic number.

1036416042 is an abundant number, since it is smaller than the sum of its proper divisors (1220916438).

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

1036416042 is a wasteful number, since it uses less digits than its factorization.

1036416042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301658 (or 301655 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1036416042 is about 32193.4161281465. The cubic root of 1036416042 is about 1011.9942436153.

The spelling of 1036416042 in words is "one billion, thirty-six million, four hundred sixteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 191 382 573 1146 1719 3438 301459 602918 904377 1808754 2713131 5426262 57578669 115157338 172736007 345472014 518208021 1036416042