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4480070976 = 263213756773
BaseRepresentation
bin1000010110000100…
…00111010101000000
3102120020001012000200
410023002013111000
533133344232401
62020315245200
7216006655263
oct41302072500
912506035020
104480070976
1119999796a7
12a50449800
13565219794
14306ddccda
151b34a3686
hex10b087540

4480070976 has 84 divisors (see below), whose sum is σ = 12935274612. Its totient is φ = 1482430464.

The previous prime is 4480070941. The next prime is 4480071019. The reversal of 4480070976 is 6790700844.

It can be written as a sum of positive squares in 2 ways, for example, as 1876622400 + 2603448576 = 43320^2 + 51024^2 .

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 11 ways as a sum of consecutive naturals, for example, 50526 + ... + 107298.

Almost surely, 24480070976 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 4480070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467637306).

4480070976 is an abundant number, since it is smaller than the sum of its proper divisors (8455203636).

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

4480070976 is a wasteful number, since it uses less digits than its factorization.

4480070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56928 (or 56915 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4480070976 is about 66933.3323240372. The cubic root of 4480070976 is about 1648.5228256020.

The spelling of 4480070976 in words is "four billion, four hundred eighty million, seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 274 288 411 548 576 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 8768 9864 13152 19728 26304 39456 56773 78912 113546 170319 227092 340638 454184 510957 681276 908368 1021914 1362552 1816736 2043828 2725104 3633472 4087656 5450208 7777901 8175312 10900416 15555802 16350624 23333703 31111604 32701248 46667406 62223208 70001109 93334812 124446416 140002218 186669624 248892832 280004436 373339248 497785664 560008872 746678496 1120017744 1493356992 2240035488 4480070976