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4054552000 = 26533116349
BaseRepresentation
bin1111000110101011…
…1000110111000000
3101110120100120201121
43301222320313000
531300431131000
61510155042024
7202322060212
oct36152706700
911416316647
104054552000
1117a0763a24
12951a40314
134c80119c5
142a66b45b2
1518ae4db1a
hexf1ab8dc0

4054552000 has 112 divisors (see below), whose sum is σ = 10365638400. Its totient is φ = 1569408000.

The previous prime is 4054551971. The next prime is 4054552009. The reversal of 4054552000 is 2554504.

4054552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054552009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239826 + ... + 256174.

Almost surely, 24054552000 is an apocalyptic number.

4054552000 is a gapful number since it is divisible by the number (40) 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 4054552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182819200).

4054552000 is an abundant number, since it is smaller than the sum of its proper divisors (6311086400).

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

4054552000 is a wasteful number, since it uses less digits than its factorization.

4054552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16407 (or 16387 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 4054552000 is about 63675.3641528653. The cubic root of 4054552000 is about 1594.5848180544.

The spelling of 4054552000 in words is "four billion, fifty-four million, five hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 775 800 992 1000 1240 1550 1600 1984 2000 2480 3100 3875 4000 4960 6200 7750 8000 9920 12400 15500 16349 24800 31000 32698 49600 62000 65396 81745 124000 130792 163490 248000 261584 326980 408725 506819 523168 653960 817450 1013638 1046336 1307920 1634900 2027276 2043625 2534095 2615840 3269800 4054552 4087250 5068190 5231680 6539600 8109104 8174500 10136380 12670475 13079200 16218208 16349000 20272760 25340950 26158400 32436416 32698000 40545520 50681900 63352375 65396000 81091040 101363800 126704750 130792000 162182080 202727600 253409500 405455200 506819000 810910400 1013638000 2027276000 4054552000