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45454240 = 255132412
BaseRepresentation
bin1010110101100…
…1001110100000
310011112022111101
42231121032200
543114013430
64302124144
71061232436
oct255311640
9104468441
1045454240
1123726497
1213280654
139556300
146072d56
153eccdca
hex2b593a0

45454240 has 108 divisors (see below), whose sum is σ = 119186802. Its totient is φ = 16373760.

The previous prime is 45454237. The next prime is 45454267. The reversal of 45454240 is 4245454.

It can be written as a sum of positive squares in 9 ways, for example, as 15904144 + 29550096 = 3988^2 + 5436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45454199 and 45454208.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1108620 + ... + 1108660.

Almost surely, 245454240 is an apocalyptic number.

45454240 is a gapful number since it is divisible by the number (40) 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 45454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59593401).

45454240 is an abundant number, since it is smaller than the sum of its proper divisors (73732562).

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

45454240 is a wasteful number, since it uses less digits than its factorization.

45454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 45454240 is about 6741.9759714790. The cubic root of 45454240 is about 356.8821283323.

Adding to 45454240 its reverse (4245454), we get a palindrome (49699694).

The spelling of 45454240 in words is "forty-five million, four hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 80 82 104 130 160 164 169 205 208 260 328 338 410 416 520 533 656 676 820 845 1040 1066 1312 1352 1640 1681 1690 2080 2132 2665 2704 3280 3362 3380 4264 5330 5408 6560 6724 6760 6929 8405 8528 10660 13448 13520 13858 16810 17056 21320 21853 26896 27040 27716 33620 34645 42640 43706 53792 55432 67240 69290 85280 87412 109265 110864 134480 138580 174824 218530 221728 268960 277160 284089 349648 437060 554320 568178 699296 874120 1108640 1136356 1420445 1748240 2272712 2840890 3496480 4545424 5681780 9090848 11363560 22727120 45454240