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1041365248 = 2872117547
BaseRepresentation
bin111110000100011…
…111100100000000
32200120111211120021
4332010133210000
54113042141443
6251200023224
734543313200
oct7604374400
92616454507
101041365248
11494907140
12250901b14
13137991271
149c438400
15616529ed
hex3e11f900

1041365248 has 108 divisors (see below), whose sum is σ = 2638207152. Its totient is φ = 405672960.

The previous prime is 1041365239. The next prime is 1041365261. The reversal of 1041365248 is 8425631401.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 134211 + ... + 141757.

It is an arithmetic number, because the mean of its divisors is an integer number (24427844).

Almost surely, 21041365248 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 1041365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319103576).

1041365248 is an abundant number, since it is smaller than the sum of its proper divisors (1596841904).

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

1041365248 is an equidigital number, since it uses as much as digits as its factorization.

1041365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 1041365248 is about 32270.1913226433. The cubic root of 1041365248 is about 1013.6025477384.

Adding to 1041365248 its reverse (8425631401), we get a palindrome (9466996649).

The spelling of 1041365248 in words is "one billion, forty-one million, three hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 539 616 704 784 896 1078 1232 1408 1568 1792 2156 2464 2816 3136 4312 4928 6272 7547 8624 9856 12544 15094 17248 19712 30188 34496 52829 60376 68992 83017 105658 120752 137984 166034 211316 241504 332068 369803 422632 483008 581119 664136 739606 845264 966016 1162238 1328272 1479212 1690528 1932032 2324476 2656544 2958424 3381056 4067833 4648952 5313088 5916848 6762112 8135666 9297904 10626176 11833696 13524224 16271332 18595808 21252352 23667392 32542664 37191616 47334784 65085328 74383232 94669568 130170656 148766464 260341312 520682624 1041365248