Search a number
-
+
4026371616 = 253213980457
BaseRepresentation
bin1110111111111101…
…1000111000100000
3101101121022212111200
43233333120320200
531221222342431
61503311041200
7201530410521
oct35777307040
911347285450
104026371616
111786866653
12944510200
134c2226017
142a2a5a848
15188733ee6
hexeffd8e20

4026371616 has 36 divisors (see below), whose sum is σ = 11449995102. Its totient is φ = 1342123776.

The previous prime is 4026371599. The next prime is 4026371639. The reversal of 4026371616 is 6161736204.

It is a happy number.

4026371616 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 37 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3841520400 + 184851216 = 61980^2 + 13596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6989941 + ... + 6990516.

Almost surely, 24026371616 is an apocalyptic number.

It is an amenable number.

4026371616 is an abundant number, since it is smaller than the sum of its proper divisors (7423623486).

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

4026371616 is a wasteful number, since it uses less digits than its factorization.

4026371616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13980473 (or 13980462 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4026371616 is about 63453.6966299049. The cubic root of 4026371616 is about 1590.8819409982.

The spelling of 4026371616 in words is "four billion, twenty-six million, three hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13980457 27960914 41941371 55921828 83882742 111843656 125824113 167765484 223687312 251648226 335530968 447374624 503296452 671061936 1006592904 1342123872 2013185808 4026371616