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5213325440 = 27580910069
BaseRepresentation
bin1001101101011110…
…10000100010000000
3111110022210101001102
410312233100202000
541134102403230
62221151353532
7243122351351
oct46657204200
914408711042
105213325440
112235871624
121015b228a8
1365110026b
14376551d28
15207a44045
hex136bd0880

5213325440 has 64 divisors (see below), whose sum is σ = 12479751000. Its totient is φ = 2082545664.

The previous prime is 5213325437. The next prime is 5213325463. The reversal of 5213325440 is 445233125.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4508316736 + 705008704 = 67144^2 + 26552^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512726 + ... + 522794.

Almost surely, 25213325440 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 5213325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239875500).

5213325440 is an abundant number, since it is smaller than the sum of its proper divisors (7266425560).

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

5213325440 is a wasteful number, since it uses less digits than its factorization.

5213325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10897 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 5213325440 is about 72203.3616945915. The cubic root of 5213325440 is about 1733.9568223807.

Adding to 5213325440 its reverse (445233125), we get a palindrome (5658558565).

The spelling of 5213325440 in words is "five billion, two hundred thirteen million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 809 1618 3236 4045 6472 8090 10069 12944 16180 20138 25888 32360 40276 50345 51776 64720 80552 100690 103552 129440 161104 201380 258880 322208 402760 517760 644416 805520 1288832 1611040 3222080 6444160 8145821 16291642 32583284 40729105 65166568 81458210 130333136 162916420 260666272 325832840 521332544 651665680 1042665088 1303331360 2606662720 5213325440