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1040424032 = 25731373251
BaseRepresentation
bin111110000000111…
…001110001100000
32200111202000110102
4332000321301200
54112322032112
6251123521532
734532313134
oct7600716140
92614660412
101040424032
11494323a7a
122505292a8
13137721a2b
149c2713c4
1561518bc2
hex3e039c60

1040424032 has 48 divisors (see below), whose sum is σ = 2092193712. Its totient is φ = 509184000.

The previous prime is 1040424031. The next prime is 1040424043. The reversal of 1040424032 is 2304240401.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1040423995 and 1040424013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040424031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318407 + ... + 321657.

It is an arithmetic number, because the mean of its divisors is an integer number (43587369).

Almost surely, 21040424032 is an apocalyptic number.

It is an amenable number.

1040424032 is an abundant number, since it is smaller than the sum of its proper divisors (1051769680).

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

1040424032 is a wasteful number, since it uses less digits than its factorization.

1040424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1040424032 is about 32255.6046602757. The cubic root of 1040424032 is about 1013.2970812670.

Adding to 1040424032 its reverse (2304240401), we get a palindrome (3344664433).

The spelling of 1040424032 in words is "one billion, forty million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 73 137 146 274 292 548 584 1096 1168 2192 2336 3251 4384 6502 10001 13004 20002 26008 40004 52016 80008 104032 160016 237323 320032 445387 474646 890774 949292 1781548 1898584 3563096 3797168 7126192 7594336 14252384 32513251 65026502 130053004 260106008 520212016 1040424032