Search a number
-
+
2509056972 = 223411368531
BaseRepresentation
bin1001010110001101…
…0010101111001100
320110212020022010000
42111203102233030
520114304310342
61052545444300
7116114426622
oct22543225714
96425208100
102509056972
11107832a704
125a0340690
1330ca809c6
1419b32b512
15ea41944c
hex958d2bcc

2509056972 has 60 divisors (see below), whose sum is σ = 6617312856. Its totient is φ = 828938880.

The previous prime is 2509056967. The next prime is 2509057021. The reversal of 2509056972 is 2796509052.

2509056972 is a `hidden beast` number, since 2 + 509 + 0 + 56 + 97 + 2 = 666.

2509056972 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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2347 + ... + 70877.

Almost surely, 22509056972 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 2509056972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308656428).

2509056972 is an abundant number, since it is smaller than the sum of its proper divisors (4108255884).

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

2509056972 is a wasteful number, since it uses less digits than its factorization.

2509056972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68660 (or 68649 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 2509056972 is about 50090.4878395090. The cubic root of 2509056972 is about 1358.8457933590.

The spelling of 2509056972 in words is "two billion, five hundred nine million, fifty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 1017 1356 2034 3051 4068 6102 9153 12204 18306 36612 68531 137062 205593 274124 411186 616779 822372 1233558 1850337 2467116 3700674 5551011 7401348 7744003 11102022 15488006 22204044 23232009 30976012 46464018 69696027 92928036 139392054 209088081 278784108 418176162 627264243 836352324 1254528486 2509056972