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2506152 = 233112863
BaseRepresentation
bin1001100011110110101000
311201022210110
421203312220
51120144102
6125414320
730205365
oct11436650
94638713
102506152
111461a00
12a0a3a0
1369993c
1449346c
1534786c
hex263da8

2506152 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 758560.

The previous prime is 2506129. The next prime is 2506183. The reversal of 2506152 is 2516052.

2506152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2473 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

22506152 is an apocalyptic number.

2506152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2506152 is an abundant number, since it is smaller than the sum of its proper divisors (4388568).

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

2506152 is a wasteful number, since it uses less digits than its factorization.

2506152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2506152 is about 1583.0830679405. The cubic root of 2506152 is about 135.8321169508.

The spelling of 2506152 in words is "two million, five hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 863 968 1452 1726 2589 2904 3452 5178 6904 9493 10356 18986 20712 28479 37972 56958 75944 104423 113916 208846 227832 313269 417692 626538 835384 1253076 2506152