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5429829240 = 23325111780657
BaseRepresentation
bin1010000111010010…
…01001111001111000
3112000102011220102200
411003221021321320
542110014013430
62254444030200
7251361533643
oct50351117170
915012156380
105429829240
112336aa7090
121076532360
13686c15514
143971cca5a
1521ba5d460
hex143a49e78

5429829240 has 192 divisors, whose sum is σ = 20383889760. Its totient is φ = 1238876160.

The previous prime is 5429829233. The next prime is 5429829287. The reversal of 5429829240 is 429289245.

5429829240 is a `hidden beast` number, since 542 + 9 + 82 + 9 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26992 + ... + 107648.

Almost surely, 25429829240 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 5429829240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10191944880).

5429829240 is an abundant number, since it is smaller than the sum of its proper divisors (14954060520).

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

5429829240 is a wasteful number, since it uses less digits than its factorization.

5429829240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80702 (or 80695 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5429829240 is about 73687.3750380620. The cubic root of 5429829240 is about 1757.6351287247.

It can be divided in two parts, 54298 and 29240, that added together give a palindrome (83538).

The spelling of 5429829240 in words is "five billion, four hundred twenty-nine million, eight hundred twenty-nine thousand, two hundred forty".