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4000707438 = 2371353138251
BaseRepresentation
bin1110111001110101…
…1111001101101110
3101022211000222212120
43232131133031232
531143140114223
61500553013410
7201066311040
oct35635371556
911284028776
104000707438
111773327792
129379b4266
134b9b0b710
1429d499a90
15186364be3
hexee75f36e

4000707438 has 64 divisors (see below), whose sum is σ = 10033777152. Its totient is φ = 1035216000.

The previous prime is 4000707437. The next prime is 4000707439. The reversal of 4000707438 is 8347070004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4000707437) and next prime (4000707439).

It is a junction number, because it is equal to n+sod(n) for n = 4000707399 and 4000707408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000707437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40188 + ... + 98063.

It is an arithmetic number, because the mean of its divisors is an integer number (156777768).

Almost surely, 24000707438 is an apocalyptic number.

4000707438 is an abundant number, since it is smaller than the sum of its proper divisors (6033069714).

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

4000707438 is a wasteful number, since it uses less digits than its factorization.

4000707438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138329.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 4000707438 is about 63251.1457445634. The cubic root of 4000707438 is about 1587.4946287706.

The spelling of 4000707438 in words is "four billion, seven hundred seven thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 4134 4823 9646 14469 28938 138251 276502 414753 829506 967757 1797263 1935514 2903271 3594526 5391789 5806542 7327303 10783578 12580841 14654606 21981909 25161682 37742523 43963818 51291121 75485046 95254939 102582242 153873363 190509878 285764817 307746726 571529634 666784573 1333569146 2000353719 4000707438