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1249163424 = 25339371543
BaseRepresentation
bin100101001110100…
…1011100010100000
310020001112002002000
41022131023202200
510024241212144
6323541524000
742645466605
oct11235134240
93201462060
101249163424
11591135a73
122aa413600
1316ba48b72
14bbc8a6ac
15749ec769
hex4a74b8a0

1249163424 has 96 divisors (see below), whose sum is σ = 3649645440. Its totient is φ = 415673856.

The previous prime is 1249163387. The next prime is 1249163437. The reversal of 1249163424 is 4243619421.

1249163424 is a `hidden beast` number, since 12 + 4 + 9 + 1 + 634 + 2 + 4 = 666.

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808797 + ... + 810339.

It is an arithmetic number, because the mean of its divisors is an integer number (38017140).

Almost surely, 21249163424 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 1249163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824822720).

1249163424 is an abundant number, since it is smaller than the sum of its proper divisors (2400482016).

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

1249163424 is a wasteful number, since it uses less digits than its factorization.

1249163424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2485 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1249163424 is about 35343.5061079118. The cubic root of 1249163424 is about 1076.9769782713.

The spelling of 1249163424 in words is "one billion, two hundred forty-nine million, one hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 937 1543 1874 2811 3086 3748 4629 5622 6172 7496 8433 9258 11244 12344 13887 14992 16866 18516 22488 24688 25299 27774 29984 33732 37032 41661 44976 49376 50598 55548 67464 74064 83322 89952 101196 111096 134928 148128 166644 202392 222192 269856 333288 404784 444384 666576 809568 1333152 1445791 2891582 4337373 5783164 8674746 11566328 13012119 17349492 23132656 26024238 34698984 39036357 46265312 52048476 69397968 78072714 104096952 138795936 156145428 208193904 312290856 416387808 624581712 1249163424