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1054246644 = 2233114012213
BaseRepresentation
bin111110110101101…
…000011011110100
32201110202021112000
4332311220123310
54124341343034
6252340055300
735060643243
oct7665503364
92643667460
101054246644
114a1105120
12255094530
1313a5514a9
14a002c95a
1562849599
hex3ed686f4

1054246644 has 96 divisors (see below), whose sum is σ = 2990494080. Its totient is φ = 318528000.

The previous prime is 1054246643. The next prime is 1054246663. The reversal of 1054246644 is 4466424501.

1054246644 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 4 + 6 + 644 = 666.

It is a super-2 number, since 2×10542466442 = 2222871972770525472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1054246599 and 1054246608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054246643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475282 + ... + 477494.

It is an arithmetic number, because the mean of its divisors is an integer number (31150980).

Almost surely, 21054246644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054246644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495247040).

1054246644 is an abundant number, since it is smaller than the sum of its proper divisors (1936247436).

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

1054246644 is a wasteful number, since it uses less digits than its factorization.

1054246644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1054246644 is about 32469.1645103474. The cubic root of 1054246644 is about 1017.7647592227.

The spelling of 1054246644 in words is "one billion, fifty-four million, two hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 401 594 802 1188 1203 1604 2213 2406 3609 4411 4426 4812 6639 7218 8822 8852 10827 13233 13278 14436 17644 19917 21654 24343 26466 26556 39699 39834 43308 48686 52932 59751 73029 79398 79668 97372 119097 119502 146058 158796 219087 238194 239004 292116 438174 476388 657261 876348 887413 1314522 1774826 2629044 2662239 3549652 5324478 7986717 9761543 10648956 15973434 19523086 23960151 29284629 31946868 39046172 47920302 58569258 87853887 95840604 117138516 175707774 263561661 351415548 527123322 1054246644