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5435088804 = 2232372110281
BaseRepresentation
bin1010000111111010…
…01101111110100100
3112000210002010012100
411003331031332210
542112340320204
62255152452100
7251454330645
oct50375157644
915023063170
105435088804
112339a69732
12107824a030
136880374a2
14397b9b6cc
1521c24ba39
hex143f4dfa4

5435088804 has 54 divisors (see below), whose sum is σ = 14120176434. Its totient is φ = 1762715520.

The previous prime is 5435088787. The next prime is 5435088821. The reversal of 5435088804 is 4088805345.

It is an interprime number because it is at equal distance from previous prime (5435088787) and next prime (5435088821).

It can be written as a sum of positive squares in 3 ways, for example, as 2459168100 + 2975920704 = 49590^2 + 54552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5435088804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5857 + ... + 104424.

Almost surely, 25435088804 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 5435088804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060088217).

5435088804 is an abundant number, since it is smaller than the sum of its proper divisors (8685087630).

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

5435088804 is a wasteful number, since it uses less digits than its factorization.

5435088804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110365 (or 110323 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5435088804 is about 73723.0547657922. The cubic root of 5435088804 is about 1758.2024523492.

The spelling of 5435088804 in words is "five billion, four hundred thirty-five million, eighty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 24642 49284 110281 220562 330843 441124 661686 992529 1323372 1985058 3970116 4080397 8160794 12241191 16321588 24482382 36723573 48964764 73447146 146894292 150974689 301949378 452924067 603898756 905848134 1358772201 1811696268 2717544402 5435088804