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1045293696 = 27322339451
BaseRepresentation
bin111110010011011…
…110101010000000
32200211220102101100
4332103132222000
54120043344241
6251420134400
734621564326
oct7623365200
92624812340
101045293696
1149704a697
12252097400
131387383a5
149cb7bd16
1561b7b9b6
hex3e4dea80

1045293696 has 96 divisors (see below), whose sum is σ = 3138801120. Its totient is φ = 333273600.

The previous prime is 1045293679. The next prime is 1045293701. The reversal of 1045293696 is 6963925401.

1045293696 is a `hidden beast` number, since 1 + 0 + 4 + 529 + 36 + 96 = 666.

1045293696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6771 + ... + 46221.

It is an arithmetic number, because the mean of its divisors is an integer number (32695845).

Almost surely, 21045293696 is an apocalyptic number.

1045293696 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 1045293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569400560).

1045293696 is an abundant number, since it is smaller than the sum of its proper divisors (2093507424).

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

1045293696 is a wasteful number, since it uses less digits than its factorization.

1045293696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39494 (or 39479 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1045293696 is about 32331.0020877795. The cubic root of 1045293696 is about 1014.8755203375.

The spelling of 1045293696 in words is "one billion, forty-five million, two hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 39451 78902 118353 157804 236706 315608 355059 473412 631216 710118 907373 946824 1262432 1420236 1814746 1893648 2524864 2722119 2840472 3629492 3787296 5049728 5444238 5680944 7258984 7574592 8166357 10888476 11361888 14517968 15149184 16332714 21776952 22723776 29035936 32665428 43553904 45447552 58071872 65330856 87107808 116143744 130661712 174215616 261323424 348431232 522646848 1045293696