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1993488 = 243717349
BaseRepresentation
bin111100110101100010000
310202021112220
413212230100
51002242423
6110421040
722641630
oct7465420
93667486
101993488
111141812
12801780
1354a4a3
1439c6c0
152959e3
hex1e6b10

1993488 has 80 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 534528.

The previous prime is 1993483. The next prime is 1993493. The reversal of 1993488 is 8843991.

It is an interprime number because it is at equal distance from previous prime (1993483) and next prime (1993493).

It is a super-2 number, since 2×19934882 = 7947988812288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (62208) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (1993483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5538 + ... + 5886.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

21993488 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 1993488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

1993488 is an abundant number, since it is smaller than the sum of its proper divisors (4256112).

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

1993488 is a wasteful number, since it uses less digits than its factorization.

1993488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 1993488 is about 1411.9093455318. The cubic root of 1993488 is about 125.8552128770.

The spelling of 1993488 in words is "one million, nine hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 349 357 408 476 698 714 816 952 1047 1396 1428 1904 2094 2443 2792 2856 4188 4886 5584 5712 5933 7329 8376 9772 11866 14658 16752 17799 19544 23732 29316 35598 39088 41531 47464 58632 71196 83062 94928 117264 124593 142392 166124 249186 284784 332248 498372 664496 996744 1993488