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1054232892 = 2232431973457
BaseRepresentation
bin111110110101100…
…101000100111100
32201110201120122200
4332311211010330
54124340423032
6252335511500
735060555166
oct7665450474
92643646580
101054232892
114a10a5859
12255088590
1313a54815b
14a0027936
156284547c
hex3ed6513c

1054232892 has 72 divisors (see below), whose sum is σ = 2741474736. Its totient is φ = 341397504.

The previous prime is 1054232891. The next prime is 1054232923. The reversal of 1054232892 is 2982324501.

It is a happy number.

1054232892 is a `hidden beast` number, since 1 + 0 + 542 + 3 + 28 + 92 = 666.

It is a super-2 number, since 2×10542328922 = 2222813981149367328, 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 (1054232891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303228 + ... + 306684.

It is an arithmetic number, because the mean of its divisors is an integer number (38076038).

Almost surely, 21054232892 is an apocalyptic number.

1054232892 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 1054232892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370737368).

1054232892 is an abundant number, since it is smaller than the sum of its proper divisors (1687241844).

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

1054232892 is a wasteful number, since it uses less digits than its factorization.

1054232892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1054232892 is about 32468.9527395018. The cubic root of 1054232892 is about 1017.7603338314.

It can be divided in two parts, 10542 and 32892, that added together give a palindrome (43434).

The spelling of 1054232892 in words is "one billion, fifty-four million, two hundred thirty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 197 258 387 394 516 591 774 788 1182 1548 1773 2364 3457 3546 6914 7092 8471 10371 13828 16942 20742 25413 31113 33884 41484 50826 62226 76239 101652 124452 148651 152478 297302 304956 445953 594604 681029 891906 1337859 1362058 1783812 2043087 2675718 2724116 4086174 5351436 6129261 8172348 12258522 24517044 29284247 58568494 87852741 117136988 175705482 263558223 351410964 527116446 1054232892