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2123952 = 24344249
BaseRepresentation
bin1000000110100010110000
310222220111220
420012202300
51020431302
6113305040
724024165
oct10064260
93886456
102123952
111220836
12865180
1359499c
143d406c
152be4bc
hex2068b0

2123952 has 20 divisors (see below), whose sum is σ = 5487000. Its totient is φ = 707968.

The previous prime is 2123939. The next prime is 2123969. The reversal of 2123952 is 2593212.

It is a super-2 number, since 2×21239522 = 9022344196608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 214 + 1 + 220 + 38 + 93 + 55 + 220 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22077 + ... + 22172.

It is an arithmetic number, because the mean of its divisors is an integer number (274350).

22123952 is an apocalyptic number.

It is an amenable number.

2123952 is an abundant number, since it is smaller than the sum of its proper divisors (3363048).

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

2123952 is a wasteful number, since it uses less digits than its factorization.

2123952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44260 (or 44254 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2123952 is about 1457.3784683465. The cubic root of 2123952 is about 128.5429411312.

The spelling of 2123952 in words is "two million, one hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 44249 88498 132747 176996 265494 353992 530988 707984 1061976 2123952