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2074952 = 2311171973
BaseRepresentation
bin111111010100101001000
310220102022002
413322211020
51012344302
6112250132
723431265
oct7724510
93812262
102074952
111197a40
12840948
135785a9
143c026c
152aec02
hex1fa948

2074952 has 64 divisors (see below), whose sum is σ = 4795200. Its totient is φ = 829440.

The previous prime is 2074951. The next prime is 2074957. The reversal of 2074952 is 2594702.

2074952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2074951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28388 + ... + 28460.

It is an arithmetic number, because the mean of its divisors is an integer number (74925).

22074952 is an apocalyptic number.

2074952 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 2074952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397600).

2074952 is an abundant number, since it is smaller than the sum of its proper divisors (2720248).

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

2074952 is a wasteful number, since it uses less digits than its factorization.

2074952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2074952 is about 1440.4693679492. The cubic root of 2074952 is about 127.5467366786.

The spelling of 2074952 in words is "two million, seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 73 76 88 136 146 152 187 209 292 323 374 418 584 646 748 803 836 1241 1292 1387 1496 1606 1672 2482 2584 2774 3212 3553 4964 5548 6424 7106 9928 11096 13651 14212 15257 23579 27302 28424 30514 47158 54604 61028 94316 109208 122056 188632 259369 518738 1037476 2074952