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45297792 = 273417257
BaseRepresentation
bin1010110011001…
…1000010000000
310011020100220000
42230303002000
543044012132
64254520000
71060011351
oct254630200
9104210800
1045297792
11236299a1
1213206000
139500037
146031d28
153e9b87c
hex2b33080

45297792 has 160 divisors (see below), whose sum is σ = 143290620. Its totient is φ = 14155776.

The previous prime is 45297779. The next prime is 45297799. The reversal of 45297792 is 29779254.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 9585216 = 5976^2 + 3096^2 .

It is not an unprimeable number, because it can be changed into a prime (45297799) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 176128 + ... + 176384.

Almost surely, 245297792 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 45297792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71645310).

45297792 is an abundant number, since it is smaller than the sum of its proper divisors (97992828).

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

45297792 is a wasteful number, since it uses less digits than its factorization.

45297792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 45297792 is about 6730.3634374378. The cubic root of 45297792 is about 356.4722092916.

It can be divided in two parts, 4529 and 7792, that added together give a palindrome (12321).

The spelling of 45297792 in words is "forty-five million, two hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 257 272 288 306 324 384 408 432 459 514 544 576 612 648 771 816 864 918 1028 1088 1152 1224 1296 1377 1542 1632 1728 1836 2056 2176 2313 2448 2592 2754 3084 3264 3456 3672 4112 4369 4626 4896 5184 5508 6168 6528 6939 7344 8224 8738 9252 9792 10368 11016 12336 13107 13878 14688 16448 17476 18504 19584 20817 22032 24672 26214 27756 29376 32896 34952 37008 39321 41634 44064 49344 52428 55512 58752 69904 74016 78642 83268 88128 98688 104856 111024 117963 139808 148032 157284 166536 176256 209712 222048 235926 279616 296064 314568 333072 353889 419424 444096 471852 559232 629136 666144 707778 838848 888192 943704 1258272 1332288 1415556 1677696 1887408 2516544 2664576 2831112 3774816 5033088 5662224 7549632 11324448 15099264 22648896 45297792