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5603942400 = 21335271303
BaseRepresentation
bin1010011100000010…
…10110000000000000
3112110112210202210020
411032001112000000
542434102124100
62324023533440
7255604503330
oct51601260000
915415722706
105603942400
112416308961
1211048ba280
136b4007a64
143b23930c0
1522bea25a0
hex14e056000

5603942400 has 336 divisors, whose sum is σ = 21192524544. Its totient is φ = 1279918080.

The previous prime is 5603942369. The next prime is 5603942429. The reversal of 5603942400 is 42493065.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300149 + ... + 4301451.

Almost surely, 25603942400 is an apocalyptic number.

5603942400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5603942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596262272).

5603942400 is an abundant number, since it is smaller than the sum of its proper divisors (15588582144).

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

5603942400 is a wasteful number, since it uses less digits than its factorization.

5603942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 5603942400 is about 74859.4843690497. The cubic root of 5603942400 is about 1776.2246286773.

The spelling of 5603942400 in words is "five billion, six hundred three million, nine hundred forty-two thousand, four hundred".