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1054293372 = 22321125110607
BaseRepresentation
bin111110110101110…
…011110101111100
32201110211122121200
4332311303311330
54124344341442
6252341055500
735061226416
oct7665636574
92643748550
101054293372
114a1137240
122550b7590
1313a569842
14a00419b6
156285834c
hex3ed73d7c

1054293372 has 72 divisors (see below), whose sum is σ = 2919151872. Its totient is φ = 318180000.

The previous prime is 1054293349. The next prime is 1054293407. The reversal of 1054293372 is 2733924501.

1054293372 is a `hidden beast` number, since 10 + 542 + 9 + 33 + 72 = 666.

It is a super-2 number, since 2×10542933722 = 2223069028486260768, 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, 94093 + ... + 104699.

It is an arithmetic number, because the mean of its divisors is an integer number (40543776).

Almost surely, 21054293372 is an apocalyptic number.

1054293372 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 1054293372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459575936).

1054293372 is an abundant number, since it is smaller than the sum of its proper divisors (1864858500).

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

1054293372 is a wasteful number, since it uses less digits than its factorization.

1054293372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1054293372 is about 32469.8840774032. The cubic root of 1054293372 is about 1017.7797959978.

It can be divided in two parts, 105429 and 3372, that added together give a palindrome (108801).

The spelling of 1054293372 in words is "one billion, fifty-four million, two hundred ninety-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 251 396 502 753 1004 1506 2259 2761 3012 4518 5522 8283 9036 10607 11044 16566 21214 24849 31821 33132 42428 49698 63642 95463 99396 116677 127284 190926 233354 350031 381852 466708 700062 1050093 1400124 2100186 2662357 4200372 5324714 7987071 10649428 15974142 23961213 29285927 31948284 47922426 58571854 87857781 95844852 117143708 175715562 263573343 351431124 527146686 1054293372