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1441993752 = 233419173677
BaseRepresentation
bin101010111110011…
…0001010000011000
310201111100212120000
41111330301100120
510423122300002
6355030533000
750506513263
oct12574612030
93644325500
101441993752
1167aa71281
12342b07160
1319c992954
14d9723cda
15868dc61c
hex55f31418

1441993752 has 160 divisors (see below), whose sum is σ = 4282383600. Its totient is φ = 452065536.

The previous prime is 1441993723. The next prime is 1441993757. The reversal of 1441993752 is 2573991441.

It is a junction number, because it is equal to n+sod(n) for n = 1441993698 and 1441993707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441993757) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2129638 + ... + 2130314.

Almost surely, 21441993752 is an apocalyptic number.

1441993752 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 1441993752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141191800).

1441993752 is an abundant number, since it is smaller than the sum of its proper divisors (2840389848).

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

1441993752 is a wasteful number, since it uses less digits than its factorization.

1441993752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1441993752 is about 37973.5928244879. The cubic root of 1441993752 is about 1129.7641588895.

The spelling of 1441993752 in words is "one billion, four hundred forty-one million, nine hundred ninety-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 173 216 228 324 342 346 456 513 519 648 677 684 692 1026 1038 1354 1368 1384 1539 1557 2031 2052 2076 2708 3078 3114 3287 4062 4104 4152 4671 5416 6093 6156 6228 6574 8124 9342 9861 12186 12312 12456 12863 13148 14013 16248 18279 18684 19722 24372 25726 26296 28026 29583 36558 37368 38589 39444 48744 51452 54837 56052 59166 73116 77178 78888 88749 102904 109674 112104 115767 117121 118332 146232 154356 177498 219348 231534 234242 236664 266247 308712 347301 351363 354996 438696 463068 468484 532494 694602 702726 709992 926136 936968 1041903 1054089 1064988 1389204 1405452 2083806 2108178 2129976 2225299 2778408 2810904 3162267 4167612 4216356 4450598 6324534 6675897 8335224 8432712 8901196 9486801 12649068 13351794 17802392 18973602 20027691 25298136 26703588 37947204 40055382 53407176 60083073 75894408 80110764 120166146 160221528 180249219 240332292 360498438 480664584 720996876 1441993752