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2054987088 = 24374111621
BaseRepresentation
bin111101001111100…
…1001110101010000
312022012211011022220
41322133021311100
513202034041323
6535525301040
7101632050000
oct17237116520
95265734286
102054987088
11964a94240
12494264780
1326998a6bb
14156cd0000
15c06250e3
hex7a7c9d50

2054987088 has 200 divisors, whose sum is σ = 6760314336. Its totient is φ = 533433600.

The previous prime is 2054987087. The next prime is 2054987089. The reversal of 2054987088 is 8807894502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2054987087) and next prime (2054987089).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2054987088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054987087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1266918 + ... + 1268538.

Almost surely, 22054987088 is an apocalyptic number.

2054987088 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 2054987088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380157168).

2054987088 is an abundant number, since it is smaller than the sum of its proper divisors (4705327248).

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

2054987088 is a wasteful number, since it uses less digits than its factorization.

2054987088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 2054987088 is about 45331.9654107342. The cubic root of 2054987088 is about 1271.3633834259.

The spelling of 2054987088 in words is "two billion, fifty-four million, nine hundred eighty-seven thousand, eighty-eight".