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1993183248 = 24378371471
BaseRepresentation
bin111011011001101…
…1001000000010000
312010220112012101210
41312303121000100
513040223330443
6525440500120
7100251530610
oct16663310020
95126465353
101993183248
11933111091
1247761a640
13259c2b694
1414ca02a40
15b9eb7c33
hex76cd9010

1993183248 has 80 divisors (see below), whose sum is σ = 5955618816. Its totient is φ = 562611840.

The previous prime is 1993183237. The next prime is 1993183249. The reversal of 1993183248 is 8423813991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1993183197 and 1993183206.

It is not an unprimeable number, because it can be changed into a prime (1993183249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7848 + ... + 63623.

Almost surely, 21993183248 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 1993183248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977809408).

1993183248 is an abundant number, since it is smaller than the sum of its proper divisors (3962435568).

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

1993183248 is a wasteful number, since it uses less digits than its factorization.

1993183248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71572 (or 71566 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 1993183248 is about 44645.0808936438. The cubic root of 1993183248 is about 1258.4879923038.

It can be divided in two parts, 199318 and 3248, that added together give a triangular number (202566 = T636).

The spelling of 1993183248 in words is "one billion, nine hundred ninety-three million, one hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1328 1743 1992 2324 3486 3984 4648 6972 9296 13944 27888 71471 142942 214413 285884 428826 500297 571768 857652 1000594 1143536 1500891 1715304 2001188 3001782 3430608 4002376 5932093 6003564 8004752 11864186 12007128 17796279 23728372 24014256 35592558 41524651 47456744 71185116 83049302 94913488 124573953 142370232 166098604 249147906 284740464 332197208 498295812 664394416 996591624 1993183248