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1042427952 = 243241383461
BaseRepresentation
bin111110001000100…
…011000000110000
32200122111211022200
4332020203000300
54113330143302
6251234503200
734555330356
oct7610430060
92618454280
101042427952
11495472605
12251134b00
13137c73b97
149c6337d6
15617b281c
hex3e223030

1042427952 has 120 divisors (see below), whose sum is σ = 3002807808. Its totient is φ = 337382400.

The previous prime is 1042427909. The next prime is 1042427977. The reversal of 1042427952 is 2597242401.

It is a super-2 number, since 2×10424279522 = 2173312070221828608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2261002 + ... + 2261462.

Almost surely, 21042427952 is an apocalyptic number.

1042427952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042427952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501403904).

1042427952 is an abundant number, since it is smaller than the sum of its proper divisors (1960379856).

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

1042427952 is a wasteful number, since it uses less digits than its factorization.

1042427952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1042427952 is about 32286.6528460291. The cubic root of 1042427952 is about 1013.9472213230.

The spelling of 1042427952 in words is "one billion, forty-two million, four hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 383 461 492 656 738 766 922 984 1149 1383 1476 1532 1844 1968 2298 2766 2952 3064 3447 3688 4149 4596 5532 5904 6128 6894 7376 8298 9192 11064 13788 15703 16596 18384 18901 22128 27576 31406 33192 37802 47109 55152 56703 62812 66384 75604 94218 113406 125624 141327 151208 170109 176563 188436 226812 251248 282654 302416 340218 353126 376872 453624 529689 565308 680436 706252 753744 907248 1059378 1130616 1360872 1412504 1589067 2118756 2261232 2721744 2825008 3178134 4237512 6356268 7239083 8475024 12712536 14478166 21717249 25425072 28956332 43434498 57912664 65151747 86868996 115825328 130303494 173737992 260606988 347475984 521213976 1042427952