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2040424224 = 25329732911
BaseRepresentation
bin111100110011110…
…0110011100100000
312021012102021211120
41321213212130200
513134322033344
6534245212240
7101364214446
oct17147463440
95235367746
102040424224
11957847a13
1248b401080
1326695c017
14154dbcb96
15be1ea219
hex799e6720

2040424224 has 48 divisors (see below), whose sum is σ = 5540814720. Its totient is φ = 656687360.

The previous prime is 2040424223. The next prime is 2040424249. The reversal of 2040424224 is 4224240402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2040424194 and 2040424203.

It is not an unprimeable number, because it can be changed into a prime (2040424223) 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, 363672 + ... + 369239.

It is an arithmetic number, because the mean of its divisors is an integer number (115433640).

Almost surely, 22040424224 is an apocalyptic number.

2040424224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2040424224 is an abundant number, since it is smaller than the sum of its proper divisors (3500390496).

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

2040424224 is a wasteful number, since it uses less digits than its factorization.

2040424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732953 (or 732945 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2040424224 is about 45171.0551570361. The cubic root of 2040424224 is about 1268.3530481392.

Adding to 2040424224 its reverse (4224240402), we get a palindrome (6264664626).

The spelling of 2040424224 in words is "two billion, forty million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 732911 1465822 2198733 2931644 4397466 5863288 8794932 11726576 17589864 21254419 23453152 35179728 42508838 63763257 70359456 85017676 127526514 170035352 255053028 340070704 510106056 680141408 1020212112 2040424224