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1987488 = 253267103
BaseRepresentation
bin111100101001110100000
310201222022200
413211032200
51002044423
6110333200
722615266
oct7451640
93658280
101987488
111138258
127ba200
13547839
1439a436
15293d43
hex1e53a0

1987488 has 72 divisors (see below), whose sum is σ = 5791968. Its totient is φ = 646272.

The previous prime is 1987483. The next prime is 1987501. The reversal of 1987488 is 8847891.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1987481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19245 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (80444).

21987488 is an apocalyptic number.

1987488 is a gapful number since it is divisible by the number (18) 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 1987488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895984).

1987488 is an abundant number, since it is smaller than the sum of its proper divisors (3804480).

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

1987488 is a wasteful number, since it uses less digits than its factorization.

1987488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 1987488 is about 1409.7829620193. The cubic root of 1987488 is about 125.7288196498.

The spelling of 1987488 in words is "one million, nine hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 103 134 144 201 206 268 288 309 402 412 536 603 618 804 824 927 1072 1206 1236 1608 1648 1854 2144 2412 2472 3216 3296 3708 4824 4944 6432 6901 7416 9648 9888 13802 14832 19296 20703 27604 29664 41406 55208 62109 82812 110416 124218 165624 220832 248436 331248 496872 662496 993744 1987488