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7939940480 = 275113109789
BaseRepresentation
bin1110110010100000…
…11110000010000000
3202111100101202201122
413121100132002000
5112230111043410
63351512251412
7400521244343
oct73120360200
922440352648
107939940480
11340498688a
1216570a0b68
13996c75044
1455471245a
153170d4e55
hex1d941e080

7939940480 has 64 divisors (see below), whose sum is σ = 19149571800. Its totient is φ = 3147841536.

The previous prime is 7939940471. The next prime is 7939940483. The reversal of 7939940480 is 840499397.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4187642944 + 3752297536 = 64712^2 + 61256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (7939940483) 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, 17426 + ... + 127214.

Almost surely, 27939940480 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 7939940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574785900).

7939940480 is an abundant number, since it is smaller than the sum of its proper divisors (11209631320).

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

7939940480 is a wasteful number, since it uses less digits than its factorization.

7939940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109921 (or 109909 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The square root of 7939940480 is about 89106.3436574524. The cubic root of 7939940480 is about 1994.9824626863.

The spelling of 7939940480 in words is "seven billion, nine hundred thirty-nine million, nine hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 320 452 565 640 904 1130 1808 2260 3616 4520 7232 9040 14464 18080 36160 72320 109789 219578 439156 548945 878312 1097890 1756624 2195780 3513248 4391560 7026496 8783120 12406157 14052992 17566240 24812314 35132480 49624628 62030785 70264960 99249256 124061570 198498512 248123140 396997024 496246280 793994048 992492560 1587988096 1984985120 3969970240 7939940480