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1005146442 = 233112916487
BaseRepresentation
bin111011111010010…
…101000101001010
32121001100201201000
4323322111011022
54024304141232
6243423435430
733623414046
oct7372250512
92531321630
101005146442
11476419443
12240755b76
1313031c811
14976cb026
155d39b27c
hex3be9514a

1005146442 has 32 divisors (see below), whose sum is σ = 2235772800. Its totient is φ = 334731744.

The previous prime is 1005146423. The next prime is 1005146473. The reversal of 1005146442 is 2446415001.

1005146442 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 14 + 644 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52723 + ... + 69209.

It is an arithmetic number, because the mean of its divisors is an integer number (69867900).

Almost surely, 21005146442 is an apocalyptic number.

1005146442 is an abundant number, since it is smaller than the sum of its proper divisors (1230626358).

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

1005146442 is a wasteful number, since it uses less digits than its factorization.

1005146442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17627 (or 17621 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1005146442 is about 31704.0445684774. The cubic root of 1005146442 is about 1001.7125461781.

The spelling of 1005146442 in words is "one billion, five million, one hundred forty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1129 2258 3387 6774 10161 16487 20322 30483 32974 49461 60966 98922 148383 296766 445149 890298 18613823 37227646 55841469 111682938 167524407 335048814 502573221 1005146442