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1244689152 = 2837415647
BaseRepresentation
bin100101000110000…
…0111001100000000
310012202002202112020
41022030013030000
510022120023102
6323302001440
742562453230
oct11214071400
93182082466
101244689152
1158965a423
122a8a16280
1316ab40475
14bb443cc0
1574416bbc
hex4a307300

1244689152 has 144 divisors (see below), whose sum is σ = 3878956032. Its totient is φ = 346890240.

The previous prime is 1244689141. The next prime is 1244689157. The reversal of 1244689152 is 2519864421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244689157) 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, 217593 + ... + 223239.

Almost surely, 21244689152 is an apocalyptic number.

1244689152 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 1244689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939478016).

1244689152 is an abundant number, since it is smaller than the sum of its proper divisors (2634266880).

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

1244689152 is an equidigital number, since it uses as much as digits as its factorization.

1244689152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5700 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1244689152 is about 35280.1523806233. The cubic root of 1244689152 is about 1075.6895959754.

The spelling of 1244689152 in words is "one billion, two hundred forty-four million, six hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 574 656 672 768 861 896 984 1148 1312 1344 1722 1792 1968 2296 2624 2688 3444 3936 4592 5248 5376 5647 6888 7872 9184 10496 11294 13776 15744 16941 18368 22588 27552 31488 33882 36736 39529 45176 55104 67764 73472 79058 90352 110208 118587 135528 158116 180704 220416 231527 237174 271056 316232 361408 463054 474348 542112 632464 694581 722816 926108 948696 1084224 1264928 1389162 1445632 1620689 1852216 1897392 2168448 2529856 2778324 3241378 3704432 3794784 4336896 4862067 5059712 5556648 6482756 7408864 7589568 9724134 10119424 11113296 12965512 14817728 15179136 19448268 22226592 25931024 29635456 30358272 38896536 44453184 51862048 59270912 77793072 88906368 103724096 155586144 177812736 207448192 311172288 414896384 622344576 1244689152