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1005225432 = 23341884393
BaseRepresentation
bin111011111010101…
…000010111011000
32121001111202001120
4323322220113120
54024314203212
6243425245240
733624163251
oct7372502730
92531452046
101005225432
11476472822
12240793820
13130349763
149770bb28
155d3b488c
hex3bea85d8

1005225432 has 16 divisors (see below), whose sum is σ = 2513063640. Its totient is φ = 335075136.

The previous prime is 1005225407. The next prime is 1005225443. The reversal of 1005225432 is 2345225001.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 41884393 = 1005225432 / (1 + 0 + 0 + 5 + 2 + 2 + 5 + 4 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20942173 + ... + 20942220.

Almost surely, 21005225432 is an apocalyptic number.

1005225432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005225432 is an abundant number, since it is smaller than the sum of its proper divisors (1507838208).

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

1005225432 is a wasteful number, since it uses less digits than its factorization.

1005225432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41884402 (or 41884398 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1005225432 is about 31705.2902841150. The cubic root of 1005225432 is about 1001.7387855392.

The spelling of 1005225432 in words is "one billion, five million, two hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41884393 83768786 125653179 167537572 251306358 335075144 502612716 1005225432