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2030573952 = 273211236967
BaseRepresentation
bin111100100001000…
…0001100110000000
312020111212211210200
41321002001212000
513124311331302
6533254125200
7101214410451
oct17102014600
95214784720
102030573952
1195222a2a0
12488050800
132648c0664
14153977128
15bd40181c
hex79081980

2030573952 has 192 divisors, whose sum is σ = 6652488960. Its totient is φ = 588487680.

The previous prime is 2030573899. The next prime is 2030573957. The reversal of 2030573952 is 2593750302.

2030573952 is a `hidden beast` number, since 2 + 0 + 30 + 573 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030573957) 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, 287973 + ... + 294939.

It is an arithmetic number, because the mean of its divisors is an integer number (34648380).

Almost surely, 22030573952 is an apocalyptic number.

2030573952 is a gapful number since it is divisible by the number (22) 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 2030573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326244480).

2030573952 is an abundant number, since it is smaller than the sum of its proper divisors (4621915008).

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

2030573952 is a wasteful number, since it uses less digits than its factorization.

2030573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 2030573952 is about 45061.8902399799. The cubic root of 2030573952 is about 1266.3087377719.

The spelling of 2030573952 in words is "two billion, thirty million, five hundred seventy-three thousand, nine hundred fifty-two".