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5435015440 = 245257264349
BaseRepresentation
bin1010000111111001…
…11100000100010000
3112000202221101120011
411003330330010100
542112330443230
62255151124304
7251453604031
oct50374740420
915022841504
105435015440
112339a195a8
121078213694
1368800cc8a
14397b7ca88
1521c234e2a
hex143f3c110

5435015440 has 40 divisors (see below), whose sum is σ = 12685627800. Its totient is φ = 2165538816.

The previous prime is 5435015431. The next prime is 5435015441. The reversal of 5435015440 is 445105345.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 407070976 + 5027944464 = 20176^2 + 70908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5435015441) 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, 111615 + ... + 152734.

It is an arithmetic number, because the mean of its divisors is an integer number (317140695).

Almost surely, 25435015440 is an apocalyptic number.

It is an amenable number.

5435015440 is an abundant number, since it is smaller than the sum of its proper divisors (7250612360).

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

5435015440 is a wasteful number, since it uses less digits than its factorization.

5435015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264619 (or 264613 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 5435015440 is about 73722.5571992725. The cubic root of 5435015440 is about 1758.1945414484.

The spelling of 5435015440 in words is "five billion, four hundred thirty-five million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 1028 1285 2056 2570 4112 5140 10280 20560 264349 528698 1057396 1321745 2114792 2643490 4229584 5286980 10573960 21147920 67937693 135875386 271750772 339688465 543501544 679376930 1087003088 1358753860 2717507720 5435015440