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45346756 = 2272132372
BaseRepresentation
bin1010110011111…
…0111111000100
310011022212001111
42230332333010
543102044011
64255534404
71060304200
oct254767704
9104285044
1045346756
1123662764
121322a404
139519400
146045b00
153eab121
hex2b3efc4

45346756 has 81 divisors (see below), whose sum is σ = 102734919. Its totient is φ = 17454528.

The previous prime is 45346753. The next prime is 45346757. The reversal of 45346756 is 65764354.

The square root of 45346756 is 6734.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 188356 + 45158400 = 434^2 + 6720^2 .

It is not an unprimeable number, because it can be changed into a prime (45346753) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1225570 + ... + 1225606.

Almost surely, 245346756 is an apocalyptic number.

45346756 is the 6734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45346756

45346756 is an abundant number, since it is smaller than the sum of its proper divisors (57388163).

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

45346756 is a wasteful number, since it uses less digits than its factorization.

45346756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its digits is 302400, while the sum is 40.

The cubic root of 45346756 is about 356.6006042182.

The spelling of 45346756 in words is "forty-five million, three hundred forty-six thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 74 91 98 148 169 182 196 259 338 364 481 518 637 676 962 1036 1183 1274 1369 1813 1924 2366 2548 2738 3367 3626 4732 5476 6253 6734 7252 8281 9583 12506 13468 16562 17797 19166 23569 25012 33124 35594 38332 43771 47138 67081 71188 87542 94276 124579 134162 175084 231361 249158 268324 306397 462722 498316 612794 872053 925444 1225588 1619527 1744106 3239054 3488212 6478108 11336689 22673378 45346756