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1055454444 = 22321121012399
BaseRepresentation
bin111110111010001…
…111010011101100
32201120000122022100
4332322033103230
54130144020234
6252422015100
735104133442
oct7672172354
92646018270
101055454444
114a185a600
12255577490
1313a885175
14a0264b92
15629d7399
hex3ee8f4ec

1055454444 has 108 divisors (see below), whose sum is σ = 2962814400. Its totient is φ = 316536000.

The previous prime is 1055454437. The next prime is 1055454451. The reversal of 1055454444 is 4444545501.

1055454444 is a `hidden beast` number, since 10 + 554 + 54 + 4 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1055454437) and next prime (1055454451).

It is a super-2 number, since 2×10554544442 = 2227968166718698272, 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 = 1055454399 and 1055454408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 438757 + ... + 441155.

Almost surely, 21055454444 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 1055454444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481407200).

1055454444 is an abundant number, since it is smaller than the sum of its proper divisors (1907359956).

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

1055454444 is a wasteful number, since it uses less digits than its factorization.

1055454444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The square root of 1055454444 is about 32487.7583714235. The cubic root of 1055454444 is about 1018.1532790402.

Adding to 1055454444 its reverse (4444545501), we get a palindrome (5499999945).

The spelling of 1055454444 in words is "one billion, fifty-five million, four hundred fifty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 121 132 198 202 242 303 363 396 404 484 606 726 909 1089 1111 1212 1452 1818 2178 2222 2399 3333 3636 4356 4444 4798 6666 7197 9596 9999 12221 13332 14394 19998 21591 24442 26389 28788 36663 39996 43182 48884 52778 73326 79167 86364 105556 109989 146652 158334 219978 237501 242299 290279 316668 439956 475002 484598 580558 726897 870837 950004 969196 1161116 1453794 1741674 2180691 2612511 2665289 2907588 3483348 4361382 5225022 5330578 7995867 8722764 10450044 10661156 15991734 23987601 29318179 31983468 47975202 58636358 87954537 95950404 117272716 175909074 263863611 351818148 527727222 1055454444