Search a number
-
+
7040362496 = 2114617457
BaseRepresentation
bin1101000111010001…
…10110100000000000
3200011122200110201112
412203220312200000
5103404313044441
63122335222452
7336316044116
oct64350664000
920148613645
107040362496
112a93112602
121445977a28
1388279878b
144ab065ab6
152b313d4eb
hex1a3a36800

7040362496 has 48 divisors (see below), whose sum is σ = 14109715620. Its totient is φ = 3512074240.

The previous prime is 7040362471. The next prime is 7040362499. The reversal of 7040362496 is 6942630407.

It can be written as a sum of positive squares in 2 ways, for example, as 6779216896 + 261145600 = 82336^2 + 16160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7040362499) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 940400 + ... + 947856.

Almost surely, 27040362496 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 7040362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054857810).

7040362496 is an abundant number, since it is smaller than the sum of its proper divisors (7069353124).

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

7040362496 is an equidigital number, since it uses as much as digits as its factorization.

7040362496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 7040362496 is about 83906.8679906478. The cubic root of 7040362496 is about 1916.6008375358.

The spelling of 7040362496 in words is "seven billion, forty million, three hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 461 512 922 1024 1844 2048 3688 7376 7457 14752 14914 29504 29828 59008 59656 118016 119312 236032 238624 472064 477248 944128 954496 1908992 3437677 3817984 6875354 7635968 13750708 15271936 27501416 55002832 110005664 220011328 440022656 880045312 1760090624 3520181248 7040362496