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2053402428 = 223741121931
BaseRepresentation
bin111101001100100…
…0110111100111100
312022002211122120210
41322121012330330
513201132334203
6535431312420
7101612430000
oct17231067474
95262748523
102053402428
11964101700
1249381b710
1326955432c
141569da700
15c0410803
hex7a646f3c

2053402428 has 360 divisors, whose sum is σ = 6675791360. Its totient is φ = 488980800.

The previous prime is 2053402427. The next prime is 2053402469. The reversal of 2053402428 is 8242043502.

It is a junction number, because it is equal to n+sod(n) for n = 2053402395 and 2053402404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053402427) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66238773 + ... + 66238803.

Almost surely, 22053402428 is an apocalyptic number.

2053402428 is a gapful number since it is divisible by the number (28) 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 2053402428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337895680).

2053402428 is an abundant number, since it is smaller than the sum of its proper divisors (4622388932).

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

2053402428 is a wasteful number, since it uses less digits than its factorization.

2053402428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2053402428 is about 45314.4836448569. The cubic root of 2053402428 is about 1271.0365043599.

The spelling of 2053402428 in words is "two billion, fifty-three million, four hundred two thousand, four hundred twenty-eight".