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1054381392 = 243246715679
BaseRepresentation
bin111110110110001…
…001010101010000
32201111000010100200
4332312021111100
54124410201032
6252343015200
735062044141
oct7666112520
92644003320
101054381392
114a1197389
1225513a500
1313a59a91c
14a0065ac8
156287447c
hex3ed89550

1054381392 has 60 divisors (see below), whose sum is σ = 2957310720. Its totient is φ = 350685504.

The previous prime is 1054381373. The next prime is 1054381397. The reversal of 1054381392 is 2931834501.

1054381392 is a `hidden beast` number, since 1 + 0 + 543 + 81 + 39 + 2 = 666.

1054381392 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 2×10543813922 = 2223440239591715328, 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 not an unprimeable number, because it can be changed into a prime (1054381397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59409 + ... + 75087.

It is an arithmetic number, because the mean of its divisors is an integer number (49288512).

Almost surely, 21054381392 is an apocalyptic number.

1054381392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054381392 is an abundant number, since it is smaller than the sum of its proper divisors (1902929328).

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

1054381392 is a wasteful number, since it uses less digits than its factorization.

1054381392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160 (or 16151 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1054381392 is about 32471.2394589427. The cubic root of 1054381392 is about 1017.8081190709.

The spelling of 1054381392 in words is "one billion, fifty-four million, three hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 467 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 15679 16812 22416 31358 33624 47037 62716 67248 94074 125432 141111 188148 250864 282222 376296 564444 752592 1128888 2257776 7322093 14644186 21966279 29288372 43932558 58576744 65898837 87865116 117153488 131797674 175730232 263595348 351460464 527190696 1054381392