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5290583445 = 34572278221
BaseRepresentation
bin1001110110101011…
…11110010110010101
3111122201011111010000
410323111332112111
541313342132240
62232551321513
7245051134350
oct47325762625
914581144100
105290583445
11227543a714
121037980299
13664110564
14382903297
1520e705430
hex13b57e595

5290583445 has 80 divisors (see below), whose sum is σ = 10887769728. Its totient is φ = 2407605120.

The previous prime is 5290583407. The next prime is 5290583449. The reversal of 5290583445 is 5443850925.

5290583445 is a `hidden beast` number, since 5 + 29 + 0 + 583 + 4 + 45 = 666.

It is not a de Polignac number, because 5290583445 - 210 = 5290582421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5290583445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5290583449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 639435 + ... + 647655.

Almost surely, 25290583445 is an apocalyptic number.

It is an amenable number.

5290583445 is an abundant number, since it is smaller than the sum of its proper divisors (5597186283).

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

5290583445 is a wasteful number, since it uses less digits than its factorization.

5290583445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8472 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 5290583445 is about 72736.3969756545. The cubic root of 5290583445 is about 1742.4802174467.

The spelling of 5290583445 in words is "five billion, two hundred ninety million, five hundred eighty-three thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 227 315 405 567 681 945 1135 1589 2043 2835 3405 4767 6129 7945 8221 10215 14301 18387 23835 24663 30645 41105 42903 57547 71505 73989 91935 123315 128709 172641 214515 221967 287735 369945 517923 643545 665901 863205 1109835 1553769 1866167 2589615 3329505 4661307 5598501 7768845 9330835 13063169 16795503 23306535 27992505 39189507 50386509 65315845 83977515 117568521 151159527 195947535 251932545 352705563 587842605 755797635 1058116689 1763527815 5290583445