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2049783552 = 28322347823
BaseRepresentation
bin111101000101101…
…0011011100000000
312021212000210102100
41322023103130000
513144221033202
6535221550400
7101536605225
oct17213233400
95255023370
102049783552
1196205a7a3
12492575400
1326888809b
1415633794c
15bee4841c
hex7a2d3700

2049783552 has 216 divisors, whose sum is σ = 6305854464. Its totient is φ = 638871552.

The previous prime is 2049783523. The next prime is 2049783557. The reversal of 2049783552 is 2553879402.

2049783552 is a `hidden beast` number, since 2 + 0 + 4 + 97 + 8 + 3 + 552 = 666.

It is a super-2 number, since 2×20497835522 = 8403225220099473408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2049783498 and 2049783507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049783557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2490213 + ... + 2491035.

Almost surely, 22049783552 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 2049783552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152927232).

2049783552 is an abundant number, since it is smaller than the sum of its proper divisors (4256070912).

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

2049783552 is a wasteful number, since it uses less digits than its factorization.

2049783552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2049783552 is about 45274.5353592944. The cubic root of 2049783552 is about 1270.2893820487.

The spelling of 2049783552 in words is "two billion, forty-nine million, seven hundred eighty-three thousand, five hundred fifty-two".