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2461152 = 25331827
BaseRepresentation
bin1001011000110111100000
311122001001210
421120313200
51112224102
6124430120
726630241
oct11306740
94561053
102461152
111431111
129a8340
13682305
14480cc8
1533936c
hex258de0

2461152 has 48 divisors (see below), whose sum is σ = 6676992. Its totient is φ = 792960.

The previous prime is 2461139. The next prime is 2461153. The reversal of 2461152 is 2511642.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2563 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (139104).

22461152 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 2461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338496).

2461152 is an abundant number, since it is smaller than the sum of its proper divisors (4215840).

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

2461152 is a wasteful number, since it uses less digits than its factorization.

2461152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 2461152 is about 1568.8059153382. The cubic root of 2461152 is about 135.0142097526.

Adding to 2461152 its reverse (2511642), we get a palindrome (4972794).

The spelling of 2461152 in words is "two million, four hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 827 992 1488 1654 2481 2976 3308 4962 6616 9924 13232 19848 25637 26464 39696 51274 76911 79392 102548 153822 205096 307644 410192 615288 820384 1230576 2461152