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1242997392 = 243713383743
BaseRepresentation
bin100101000010110…
…1010001010010000
310012121220210212110
41022011222022100
510021201404032
6323201425320
742542206050
oct11205521220
93177823773
101242997392
1158870437a
122a833b240
1316a69a420
14bb123560
15741d07cc
hex4a16a290

1242997392 has 160 divisors (see below), whose sum is σ = 3967746048. Its totient is φ = 326527488.

The previous prime is 1242997363. The next prime is 1242997397. The reversal of 1242997392 is 2937992421.

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

It is not an unprimeable number, because it can be changed into a prime (1242997397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672573 + ... + 1673315.

Almost surely, 21242997392 is an apocalyptic number.

1242997392 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 1242997392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983873024).

1242997392 is an abundant number, since it is smaller than the sum of its proper divisors (2724748656).

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

1242997392 is a wasteful number, since it uses less digits than its factorization.

1242997392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 1242997392 is about 35256.1681411920. The cubic root of 1242997392 is about 1075.2020221006.

The spelling of 1242997392 in words is "one billion, two hundred forty-two million, nine hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 383 546 624 728 743 766 1092 1149 1456 1486 1532 2184 2229 2298 2681 2972 3064 4368 4458 4596 4979 5201 5362 5944 6128 8043 8916 9192 9659 9958 10402 10724 11888 14937 15603 16086 17832 18384 19318 19916 20804 21448 28977 29874 31206 32172 34853 35664 38636 39832 41608 42896 57954 59748 62412 64344 67613 69706 77272 79664 83216 104559 115908 119496 124824 128688 135226 139412 154544 202839 209118 231816 238992 249648 270452 278824 284569 405678 418236 463632 540904 557648 569138 811356 836472 853707 1081808 1138276 1622712 1672944 1707414 1991983 2276552 3245424 3414828 3699397 3983966 4553104 5975949 6829656 7398794 7967932 11098191 11951898 13659312 14797588 15935864 22196382 23903796 25895779 29595176 31871728 44392764 47807592 51791558 59190352 77687337 88785528 95615184 103583116 155374674 177571056 207166232 310749348 414332464 621498696 1242997392