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2047613440 = 2952927581
BaseRepresentation
bin111101000001100…
…0001101000000000
312021200221112120211
41322003001220000
513143142112230
6535103243504
7101512266325
oct17203015000
95250845524
102047613440
11960908314
124918a9594
132682a83b2
14155d30b4c
15beb6a42a
hex7a0c1a00

2047613440 has 80 divisors (see below), whose sum is σ = 5078949480. Its totient is φ = 790773760.

The previous prime is 2047613357. The next prime is 2047613441. The reversal of 2047613440 is 443167402.

It can be written as a sum of positive squares in 4 ways, for example, as 2031485184 + 16128256 = 45072^2 + 4016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2047613441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60450 + ... + 88030.

Almost surely, 22047613440 is an apocalyptic number.

2047613440 is a gapful number since it is divisible by the number (20) 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 2047613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539474740).

2047613440 is an abundant number, since it is smaller than the sum of its proper divisors (3031336040).

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

2047613440 is an equidigital number, since it uses as much as digits as its factorization.

2047613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27633 (or 27617 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2047613440 is about 45250.5628694274. The cubic root of 2047613440 is about 1269.8409373608.

The spelling of 2047613440 in words is "two billion, forty-seven million, six hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1160 1280 1856 2320 2560 3712 4640 7424 9280 14848 18560 27581 37120 55162 74240 110324 137905 220648 275810 441296 551620 799849 882592 1103240 1599698 1765184 2206480 3199396 3530368 3999245 4412960 6398792 7060736 7998490 8825920 12797584 14121472 15996980 17651840 25595168 31993960 35303680 51190336 63987920 70607360 102380672 127975840 204761344 255951680 409522688 511903360 1023806720 2047613440