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1010042432 = 26719118661
BaseRepresentation
bin111100001101000…
…000011001000000
32121101120110201222
4330031000121000
54032032324212
6244120414212
734013135060
oct7415003100
92541513658
101010042432
11479162913
12242317368
13131345159
14982033a0
155da16c72
hex3c340640

1010042432 has 56 divisors (see below), whose sum is σ = 2411211840. Its totient is φ = 410088960.

The previous prime is 1010042431. The next prime is 1010042459. The reversal of 1010042432 is 2342400101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1010042432.

It is not an unprimeable number, because it can be changed into a prime (1010042431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50819 + ... + 67842.

Almost surely, 21010042432 is an apocalyptic number.

It is an amenable number.

1010042432 is an abundant number, since it is smaller than the sum of its proper divisors (1401169408).

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

1010042432 is a wasteful number, since it uses less digits than its factorization.

1010042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118699 (or 118689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1010042432 is about 31781.1647363655. The cubic root of 1010042432 is about 1003.3363338309.

Adding to 1010042432 its reverse (2342400101), we get a palindrome (3352442533).

The spelling of 1010042432 in words is "one billion, ten million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 118661 237322 474644 830627 949288 1661254 1898576 2254559 3322508 3797152 4509118 6645016 7594304 9018236 13290032 15781913 18036472 26580064 31563826 36072944 53160128 63127652 72145888 126255304 144291776 252510608 505021216 1010042432