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2088252 = 2232194371
BaseRepresentation
bin111111101110100111100
310221002112200
413331310330
51013311002
6112431500
723515125
oct7756474
93832480
102088252
1111a6a31
12848590
1358166a
143c504c
152b3b1c
hex1fdd3c

2088252 has 72 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 635040.

The previous prime is 2088241. The next prime is 2088259. The reversal of 2088252 is 2528802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2088259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29377 + ... + 29447.

It is an arithmetic number, because the mean of its divisors is an integer number (80080).

22088252 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 2088252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2088252 is an abundant number, since it is smaller than the sum of its proper divisors (3677508).

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

2088252 is a wasteful number, since it uses less digits than its factorization.

2088252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2088252 is about 1445.0785445781. The cubic root of 2088252 is about 127.8186722848.

The spelling of 2088252 in words is "two million, eighty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 71 76 86 114 129 142 171 172 213 228 258 284 342 387 426 516 639 684 774 817 852 1278 1349 1548 1634 2451 2556 2698 3053 3268 4047 4902 5396 6106 7353 8094 9159 9804 12141 12212 14706 16188 18318 24282 27477 29412 36636 48564 54954 58007 109908 116014 174021 232028 348042 522063 696084 1044126 2088252