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1054100052 = 223261947303
BaseRepresentation
bin111110110101000…
…100101001010100
32201110110211102200
4332311010221110
54124322200202
6252333004500
735056462665
oct7665045124
92643424380
101054100052
114a1014a75
12255023730
1313a4cc855
149ddd136c
156281ae1c
hex3ed44a54

1054100052 has 36 divisors (see below), whose sum is σ = 2668891680. Its totient is φ = 350791632.

The previous prime is 1054100029. The next prime is 1054100059. The reversal of 1054100052 is 2500014501.

1054100052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10541000522 = 2222253839252805408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1054099998 and 1054100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054100059) 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, 1368 + ... + 45935.

It is an arithmetic number, because the mean of its divisors is an integer number (74135880).

Almost surely, 21054100052 is an apocalyptic number.

1054100052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054100052 is an abundant number, since it is smaller than the sum of its proper divisors (1614791628).

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

1054100052 is a wasteful number, since it uses less digits than its factorization.

1054100052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47932 (or 47927 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1054100052 is about 32466.9070285422. The cubic root of 1054100052 is about 1017.7175839599.

Adding to 1054100052 its reverse (2500014501), we get a palindrome (3554114553).

The spelling of 1054100052 in words is "one billion, fifty-four million, one hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 619 1238 1857 2476 3714 5571 7428 11142 22284 47303 94606 141909 189212 283818 425727 567636 851454 1702908 29280557 58561114 87841671 117122228 175683342 263525013 351366684 527050026 1054100052