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4055400216 = 233372682143
BaseRepresentation
bin1111000110111000…
…0111111100011000
3101110121221200021000
43301232013330120
531301140301331
61510225145000
7202332222150
oct36156077430
911417850230
104055400216
1117a119322a
1295218b160
134c824aaca
142a6855760
1518b06a0e6
hexf1b87f18

4055400216 has 64 divisors (see below), whose sum is σ = 12874291200. Its totient is φ = 1158685344.

The previous prime is 4055400211. The next prime is 4055400229. The reversal of 4055400216 is 6120045504.

4055400216 is a `hidden beast` number, since 40 + 5 + 5 + 400 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4055400216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055400211) 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, 1339560 + ... + 1342583.

It is an arithmetic number, because the mean of its divisors is an integer number (201160800).

Almost surely, 24055400216 is an apocalyptic number.

It is an amenable number.

4055400216 is an abundant number, since it is smaller than the sum of its proper divisors (8818890984).

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

4055400216 is a wasteful number, since it uses less digits than its factorization.

4055400216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682165 (or 2682155 counting only the distinct ones).

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

The square root of 4055400216 is about 63682.0242768711. The cubic root of 4055400216 is about 1594.6960065037.

The spelling of 4055400216 in words is "four billion, fifty-five million, four hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2682143 5364286 8046429 10728572 16092858 18775001 21457144 24139287 32185716 37550002 48278574 56325003 64371432 72417861 75100004 96557148 112650006 144835722 150200008 168975009 193114296 225300012 289671444 337950018 450600024 506925027 579342888 675900036 1013850054 1351800072 2027700108 4055400216