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1988272 = 241121379
BaseRepresentation
bin111100101011010110000
310202000101201
413211122300
51002111042
6110340544
722620466
oct7453260
93660351
101988272
111138900
127ba754
13547cc0
1439a836
152941b7
hex1e56b0

1988272 has 60 divisors (see below), whose sum is σ = 4617760. Its totient is φ = 823680.

The previous prime is 1988267. The next prime is 1988279. The reversal of 1988272 is 2728891.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1988279) 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 11 ways as a sum of consecutive naturals, for example, 25129 + ... + 25207.

21988272 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 1988272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308880).

1988272 is an abundant number, since it is smaller than the sum of its proper divisors (2629488).

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

1988272 is a wasteful number, since it uses less digits than its factorization.

1988272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 1988272 is about 1410.0609915887. The cubic root of 1988272 is about 125.7453494664.

The spelling of 1988272 in words is "one million, nine hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 79 88 104 121 143 158 176 208 242 286 316 484 572 632 869 968 1027 1144 1264 1573 1738 1936 2054 2288 3146 3476 4108 6292 6952 8216 9559 11297 12584 13904 16432 19118 22594 25168 38236 45188 76472 90376 124267 152944 180752 248534 497068 994136 1988272