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1054242024 = 233112894079
BaseRepresentation
bin111110110101100…
…111010011101000
32201110202001011220
4332311213103220
54124341221044
6252340022040
735060623623
oct7665472350
92643661156
101054242024
114a1101700
12255091920
1313a54c364
14a002adba
1562848019
hex3ed674e8

1054242024 has 96 divisors (see below), whose sum is σ = 2930256000. Its totient is φ = 315800320.

The previous prime is 1054242011. The next prime is 1054242041. The reversal of 1054242024 is 4202424501.

It is a happy number.

It is a super-2 number, since 2×10542420242 = 2222852490335233152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1054241985 and 1054242003.

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, 256417 + ... + 260495.

It is an arithmetic number, because the mean of its divisors is an integer number (30523500).

Almost surely, 21054242024 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 1054242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465128000).

1054242024 is an abundant number, since it is smaller than the sum of its proper divisors (1876013976).

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

1054242024 is a wasteful number, since it uses less digits than its factorization.

1054242024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1054242024 is about 32469.0933658456. The cubic root of 1054242024 is about 1017.7632725117.

Adding to 1054242024 its reverse (4202424501), we get a palindrome (5256666525).

The spelling of 1054242024 in words is "one billion, fifty-four million, two hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 121 132 178 242 264 267 356 363 484 534 712 726 968 979 1068 1452 1958 2136 2904 2937 3916 4079 5874 7832 8158 10769 11748 12237 16316 21538 23496 24474 32307 32632 43076 44869 48948 64614 86152 89738 97896 129228 134607 179476 258456 269214 358952 363031 493559 538428 726062 987118 1076856 1089093 1452124 1480677 1974236 2178186 2904248 2961354 3948472 3993341 4356372 5922708 7986682 8712744 11845416 11980023 15973364 23960046 31946728 43926751 47920092 87853502 95840184 131780253 175707004 263560506 351414008 527121012 1054242024