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1148342496 = 25376912473
BaseRepresentation
bin100010001110010…
…0101000011100000
32222000210211202120
41010130211003200
54322433424441
6305540544240
740312515210
oct10434450340
92860724676
101148342496
1153a233794
122806b2080
13153ba8802
14ac724240
156ac34966
hex447250e0

1148342496 has 96 divisors (see below), whose sum is σ = 3451408128. Its totient is φ = 327490560.

The previous prime is 1148342483. The next prime is 1148342513. The reversal of 1148342496 is 6942438411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463116 + ... + 465588.

It is an arithmetic number, because the mean of its divisors is an integer number (35952168).

Almost surely, 21148342496 is an apocalyptic number.

1148342496 is a gapful number since it is divisible by the number (16) 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 1148342496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725704064).

1148342496 is an abundant number, since it is smaller than the sum of its proper divisors (2303065632).

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

1148342496 is a wasteful number, since it uses less digits than its factorization.

1148342496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3176 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1148342496 is about 33887.2025401921. The cubic root of 1148342496 is about 1047.1859634341.

The spelling of 1148342496 in words is "one billion, one hundred forty-eight million, three hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 691 1382 2073 2473 2764 4146 4837 4946 5528 7419 8292 9674 9892 11056 14511 14838 16584 17311 19348 19784 22112 29022 29676 33168 34622 38696 39568 51933 58044 59352 66336 69244 77392 79136 103866 116088 118704 138488 154784 207732 232176 237408 276976 415464 464352 553952 830928 1661856 1708843 3417686 5126529 6835372 10253058 11961901 13670744 20506116 23923802 27341488 35885703 41012232 47847604 54682976 71771406 82024464 95695208 143542812 164048928 191390416 287085624 382780832 574171248 1148342496