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1010424032 = 25291975527
BaseRepresentation
bin111100001110011…
…101100011100000
32121102021212012022
4330032131203200
54032132032112
6244132521012
734016314442
oct7416354340
92542255168
101010424032
114793a3592
12242480168
13131449a57
14982a2492
155da8ed72
hex3c39d8e0

1010424032 has 48 divisors (see below), whose sum is σ = 2068688160. Its totient is φ = 485227008.

The previous prime is 1010424007. The next prime is 1010424073. The reversal of 1010424032 is 2304240101.

1010424032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1010424032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180053 + ... + 185579.

It is an arithmetic number, because the mean of its divisors is an integer number (43097670).

Almost surely, 21010424032 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 1010424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034344080).

1010424032 is an abundant number, since it is smaller than the sum of its proper divisors (1058264128).

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

1010424032 is a wasteful number, since it uses less digits than its factorization.

1010424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5755 counting only the distinct ones).

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

The square root of 1010424032 is about 31787.1677253574. The cubic root of 1010424032 is about 1003.4626733871.

Adding to 1010424032 its reverse (2304240101), we get a palindrome (3314664133).

The spelling of 1010424032 in words is "one billion, ten million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 197 232 394 464 788 928 1576 3152 5527 5713 6304 11054 11426 22108 22852 44216 45704 88432 91408 160283 176864 182816 320566 641132 1088819 1282264 2177638 2564528 4355276 5129056 8710552 17421104 31575751 34842208 63151502 126303004 252606008 505212016 1010424032