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45263232 = 273371871
BaseRepresentation
bin1010110010101…
…0100110000000
310011011121111000
42230222212000
543041410412
64254052000
71056505530
oct254524600
9104147430
1045263232
1123605a33
12131aa000
1394ba3a1
1460234c0
153e914dc
hex2b2a980

45263232 has 128 divisors (see below), whose sum is σ = 152755200. Its totient is φ = 12925440.

The previous prime is 45263227. The next prime is 45263237. The reversal of 45263232 is 23236254.

It is an interprime number because it is at equal distance from previous prime (45263227) and next prime (45263237).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45263196 and 45263205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45263237) 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, 23257 + ... + 25127.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 245263232 is an apocalyptic number.

45263232 is a gapful number since it is divisible by the number (42) 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 45263232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

45263232 is an abundant number, since it is smaller than the sum of its proper divisors (107491968).

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

45263232 is a wasteful number, since it uses less digits than its factorization.

45263232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1883 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 45263232 is about 6727.7954784610. The cubic root of 45263232 is about 356.3815292721.

Adding to 45263232 its reverse (23236254), we get a palindrome (68499486).

The spelling of 45263232 in words is "forty-five million, two hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 1871 2016 2688 3024 3456 3742 4032 5613 6048 7484 8064 11226 12096 13097 14968 16839 22452 24192 26194 29936 33678 39291 44904 50517 52388 59872 67356 78582 89808 101034 104776 117873 119744 134712 157164 179616 202068 209552 235746 239488 269424 314328 353619 359232 404136 419104 471492 538848 628656 707238 718464 808272 838208 942984 1077696 1257312 1414476 1616544 1676416 1885968 2155392 2514624 2828952 3233088 3771936 5029248 5657904 6466176 7543872 11315808 15087744 22631616 45263232