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2028372 = 2231761163
BaseRepresentation
bin111101111001101010100
310211001101220
413233031110
51004401442
6111250340
723145423
oct7571524
93731356
102028372
111165a45
128199b0
13560328
143ab2ba
152a0eec
hex1ef354

2028372 has 48 divisors (see below), whose sum is σ = 5124672. Its totient is φ = 622080.

The previous prime is 2028371. The next prime is 2028373. The reversal of 2028372 is 2738202.

It is an interprime number because it is at equal distance from previous prime (2028371) and next prime (2028373).

It is a super-2 number, since 2×20283722 = 8228585940768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12363 + ... + 12525.

It is an arithmetic number, because the mean of its divisors is an integer number (106764).

22028372 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 2028372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562336).

2028372 is an abundant number, since it is smaller than the sum of its proper divisors (3096300).

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

2028372 is a wasteful number, since it uses less digits than its factorization.

2028372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2028372 is about 1424.2092542881. The cubic root of 2028372 is about 126.5850844318.

The spelling of 2028372 in words is "two million, twenty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 163 183 204 244 326 366 489 652 732 978 1037 1956 2074 2771 3111 4148 5542 6222 8313 9943 11084 12444 16626 19886 29829 33252 39772 59658 119316 169031 338062 507093 676124 1014186 2028372