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4055214132 = 2237716529
BaseRepresentation
bin1111000110110101…
…1010100000110100
3101110121121020000000
43301231122200310
531301113323012
61510221151300
7202330515504
oct36155324064
911417536000
104055214132
1117a1076442
129520bb530
134c81b41b8
142a6807a04
1518b02eddc
hexf1b5a834

4055214132 has 96 divisors (see below), whose sum is σ = 10794873600. Its totient is φ = 1332495360.

The previous prime is 4055214113. The next prime is 4055214139. The reversal of 4055214132 is 2314125504.

4055214132 is a `hidden beast` number, since 4 + 0 + 5 + 521 + 4 + 132 = 666.

4055214132 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 4055214096 and 4055214105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055214139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617844 + ... + 624372.

It is an arithmetic number, because the mean of its divisors is an integer number (112446600).

Almost surely, 24055214132 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 4055214132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397436800).

4055214132 is an abundant number, since it is smaller than the sum of its proper divisors (6739659468).

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

4055214132 is an equidigital number, since it uses as much as digits as its factorization.

4055214132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4055214132 is about 63680.5632198711. The cubic root of 4055214132 is about 1594.6716149981.

Adding to 4055214132 its reverse (2314125504), we get a palindrome (6369339636).

The spelling of 4055214132 in words is "four billion, fifty-five million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 243 284 324 426 486 639 729 852 972 1278 1458 1917 2187 2556 2916 3834 4374 5751 6529 7668 8748 11502 13058 17253 19587 23004 26116 34506 39174 51759 58761 69012 78348 103518 117522 155277 176283 207036 235044 310554 352566 463559 528849 621108 705132 927118 1057698 1390677 1586547 1854236 2115396 2781354 3173094 4172031 4759641 5562708 6346188 8344062 9519282 12516093 14278923 16688124 19038564 25032186 28557846 37548279 50064372 57115692 75096558 112644837 150193116 225289674 337934511 450579348 675869022 1013803533 1351738044 2027607066 4055214132