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5379229440 = 28345132307
BaseRepresentation
bin1010000001010000…
…01000011100000000
3111212212222011120000
411000220020130000
542004040320230
62245435320000
7250205460444
oct50050103400
914785864500
105379229440
112310486772
1210615b0000
136795aa100
143905ba824
152173b5b60
hex140a08700

5379229440 has 540 divisors, whose sum is σ = 20910254904. Its totient is φ = 1319804928.

The previous prime is 5379229433. The next prime is 5379229447. The reversal of 5379229440 is 449229735.

5379229440 is a `hidden beast` number, since 537 + 9 + 22 + 94 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5379229433) and next prime (5379229447).

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×53792294402 = 57872218736325427200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5379229447) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17521767 + ... + 17522073.

Almost surely, 25379229440 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 5379229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455127452).

5379229440 is an abundant number, since it is smaller than the sum of its proper divisors (15531025464).

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

5379229440 is a wasteful number, since it uses less digits than its factorization.

5379229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5379229440 is about 73343.2303624540. The cubic root of 5379229440 is about 1752.1583643676.

The spelling of 5379229440 in words is "five billion, three hundred seventy-nine million, two hundred twenty-nine thousand, four hundred forty".