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1152225424 = 24721148757
BaseRepresentation
bin100010010101101…
…1001000010010000
32222022010010010201
41010223121002100
54324432203144
6310200104544
740360516540
oct10453310220
92868103121
101152225424
11541446019
12281a65154
13154937cbc
14ad055320
156b2501d4
hex44ad9090

1152225424 has 40 divisors (see below), whose sum is σ = 2563500608. Its totient is φ = 491460480.

The previous prime is 1152225421. The next prime is 1152225427. The reversal of 1152225424 is 4245222511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1152225421) and next prime (1152225427).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1152225392 and 1152225401.

It is not an unprimeable number, because it can be changed into a prime (1152225421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 747 + ... + 48010.

Almost surely, 21152225424 is an apocalyptic number.

1152225424 is a gapful number since it is divisible by the number (14) 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 1152225424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281750304).

1152225424 is an abundant number, since it is smaller than the sum of its proper divisors (1411275184).

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

1152225424 is a wasteful number, since it uses less digits than its factorization.

1152225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48983 (or 48977 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 1152225424 is about 33944.4461436624. The cubic root of 1152225424 is about 1048.3649303083.

Adding to 1152225424 its reverse (4245222511), we get a palindrome (5397447935).

It can be divided in two parts, 1152 and 225424, that added together give a square (226576 = 4762).

The spelling of 1152225424 in words is "one billion, one hundred fifty-two million, two hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 211 422 844 1477 1688 2954 3376 5908 11816 23632 48757 97514 195028 341299 390056 682598 780112 1365196 2730392 5460784 10287727 20575454 41150908 72014089 82301816 144028178 164603632 288056356 576112712 1152225424