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1022009952 = 25341259657
BaseRepresentation
bin111100111010101…
…010001001100000
32122020002111002110
4330322222021200
54043113304302
6245225115320
734216640565
oct7472521140
92566074073
101022009952
11484997227
12246328b40
13133975422
1499a3a86c
155eaccb6c
hex3ceaa260

1022009952 has 48 divisors (see below), whose sum is σ = 2748220272. Its totient is φ = 332359680.

The previous prime is 1022009951. The next prime is 1022009969. The reversal of 1022009952 is 2599002201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022009951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125893 + ... + 133764.

It is an arithmetic number, because the mean of its divisors is an integer number (57254589).

Almost surely, 21022009952 is an apocalyptic number.

1022009952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022009952 is an abundant number, since it is smaller than the sum of its proper divisors (1726210320).

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

1022009952 is a wasteful number, since it uses less digits than its factorization.

1022009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259711 (or 259703 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1022009952 is about 31968.8903779909. The cubic root of 1022009952 is about 1007.2834728956.

The spelling of 1022009952 in words is "one billion, twenty-two million, nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 259657 519314 778971 1038628 1557942 2077256 3115884 4154512 6231768 8309024 10645937 12463536 21291874 24927072 31937811 42583748 63875622 85167496 127751244 170334992 255502488 340669984 511004976 1022009952