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1048853952 = 26321820927
BaseRepresentation
bin111110100001000…
…011110111000000
32201002121022010200
4332201003313000
54122001311302
6252024325200
734664053146
oct7641036700
92632538120
101048853952
11499061553
12253313800
131393b3a53
149d427596
156213181c
hex3e843dc0

1048853952 has 42 divisors (see below), whose sum is σ = 3006352128. Its totient is φ = 349617792.

The previous prime is 1048853887. The next prime is 1048853959. The reversal of 1048853952 is 2593588401.

1048853952 is a `hidden beast` number, since 104 + 8 + 8 + 539 + 5 + 2 = 666.

It is a super-2 number, since 2×10488539522 = 2200189225252036608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1048853898 and 1048853907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048853959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 909888 + ... + 911039.

Almost surely, 21048853952 is an apocalyptic number.

1048853952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1048853952 is an abundant number, since it is smaller than the sum of its proper divisors (1957498176).

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

1048853952 is a wasteful number, since it uses less digits than its factorization.

1048853952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820945 (or 1820932 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1048853952 is about 32386.0147594606. The cubic root of 1048853952 is about 1016.0264320319.

The spelling of 1048853952 in words is "one billion, forty-eight million, eight hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1820927 3641854 5462781 7283708 10925562 14567416 16388343 21851124 29134832 32776686 43702248 58269664 65553372 87404496 116539328 131106744 174808992 262213488 349617984 524426976 1048853952