Search a number
-
+
45403072 = 261131341
BaseRepresentation
bin1010110100110…
…0101111000000
310011102201022021
42231030233000
543110344242
64301051224
71060630321
oct255145700
9104381267
1045403072
11236a1000
1213256b14
139538c30
14605c448
153ebcb67
hex2b4cbc0

45403072 has 112 divisors (see below), whose sum is σ = 109325664. Its totient is φ = 18585600.

The previous prime is 45403051. The next prime is 45403087. The reversal of 45403072 is 27030454.

It is a super-2 number, since 2×454030722 = 4122877894074368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107372 + ... + 1107412.

It is an arithmetic number, because the mean of its divisors is an integer number (976122).

Almost surely, 245403072 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 45403072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54662832).

45403072 is an abundant number, since it is smaller than the sum of its proper divisors (63922592).

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

45403072 is a wasteful number, since it uses less digits than its factorization.

45403072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 45403072 is about 6738.1801697491. The cubic root of 45403072 is about 356.7481635568.

The spelling of 45403072 in words is "forty-five million, four hundred three thousand, seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 64 82 88 104 121 143 164 176 208 242 286 328 352 416 451 484 533 572 656 704 832 902 968 1066 1144 1312 1331 1573 1804 1936 2132 2288 2624 2662 3146 3608 3872 4264 4576 4961 5324 5863 6292 7216 7744 8528 9152 9922 10648 11726 12584 14432 17056 17303 19844 21296 23452 25168 28864 34112 34606 39688 42592 46904 50336 54571 64493 69212 79376 85184 93808 100672 109142 128986 138424 158752 187616 218284 257972 276848 317504 375232 436568 515944 553696 709423 873136 1031888 1107392 1418846 1746272 2063776 2837692 3492544 4127552 5675384 11350768 22701536 45403072