Search a number
-
+
2951146152 = 233240988141
BaseRepresentation
bin1010111111100110…
…1110101010101000
321121200002202110100
42233321232222220
522020443134102
61204501145400
7133063220433
oct25771565250
97550082410
102951146152
111284932869
126a43bb260
1338053aa36
141ddd2a81a
15124143a1c
hexafe6eaa8

2951146152 has 24 divisors (see below), whose sum is σ = 7992687690. Its totient is φ = 983715360.

The previous prime is 2951146151. The next prime is 2951146183. The reversal of 2951146152 is 2516411592.

2951146152 is a `hidden beast` number, since 29 + 5 + 1 + 14 + 615 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2711701476 + 239444676 = 52074^2 + 15474^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×29511461522 = 17418527220928814208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2951146151) by changing a digit.

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, 20493999 + ... + 20494142.

Almost surely, 22951146152 is an apocalyptic number.

It is an amenable number.

2951146152 is an abundant number, since it is smaller than the sum of its proper divisors (5041541538).

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

2951146152 is a wasteful number, since it uses less digits than its factorization.

2951146152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40988153 (or 40988146 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 2951146152 is about 54324.4526157420. The cubic root of 2951146152 is about 1434.3778583280.

The spelling of 2951146152 in words is "two billion, nine hundred fifty-one million, one hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 40988141 81976282 122964423 163952564 245928846 327905128 368893269 491857692 737786538 983715384 1475573076 2951146152