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1985472 = 2634383
BaseRepresentation
bin111100100101111000000
310201212120000
413210233000
51002013342
6110320000
722606356
oct7445700
93655500
101985472
111136795
127b9000
13546948
143997d6
1529344c
hex1e4bc0

1985472 has 70 divisors (see below), whose sum is σ = 5900928. Its totient is φ = 660096.

The previous prime is 1985471. The next prime is 1985483. The reversal of 1985472 is 2745891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985471) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4993 + ... + 5375.

21985472 is an apocalyptic number.

1985472 is a gapful number since it is divisible by the number (12) 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 1985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950464).

1985472 is an abundant number, since it is smaller than the sum of its proper divisors (3915456).

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

1985472 is an equidigital number, since it uses as much as digits as its factorization.

1985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1985472 is about 1409.0677769362. The cubic root of 1985472 is about 125.6862944370.

It can be divided in two parts, 19 and 85472, that added together give a triangular number (85491 = T413).

The spelling of 1985472 in words is "one million, nine hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 383 432 576 648 766 864 1149 1296 1532 1728 2298 2592 3064 3447 4596 5184 6128 6894 9192 10341 12256 13788 18384 20682 24512 27576 31023 36768 41364 55152 62046 73536 82728 110304 124092 165456 220608 248184 330912 496368 661824 992736 1985472