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1053474048 = 283211197211
BaseRepresentation
bin111110110010101…
…011110100000000
32201102022000201100
4332302223310000
54124142132143
6252311334400
735051244624
oct7662536400
92642260640
101053474048
114a0727710
12254981400
1313a340933
149dcab184
15627456d3
hex3ecabd00

1053474048 has 216 divisors, whose sum is σ = 3346158816. Its totient is φ = 316108800.

The previous prime is 1053473977. The next prime is 1053474089. The reversal of 1053474048 is 8404743501.

1053474048 is a `hidden beast` number, since 10 + 534 + 74 + 0 + 48 = 666.

1053474048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10534740482 = 2219615139619012608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4992663 + ... + 4992873.

It is an arithmetic number, because the mean of its divisors is an integer number (15491476).

Almost surely, 21053474048 is an apocalyptic number.

1053474048 is a gapful number since it is divisible by the number (18) 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 1053474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673079408).

1053474048 is an abundant number, since it is smaller than the sum of its proper divisors (2292684768).

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

1053474048 is a wasteful number, since it uses less digits than its factorization.

1053474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1053474048 is about 32457.2649494686. The cubic root of 1053474048 is about 1017.5160782815.

The spelling of 1053474048 in words is "one billion, fifty-three million, four hundred seventy-four thousand, forty-eight".