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45412440 = 233517113197
BaseRepresentation
bin1010110100111…
…1000001011000
310011110012011020
42231033001120
543111144230
64301202440
71060666533
oct255170130
9104405136
1045412440
11236a8047
1213260420
139540288
146061a1a
153ec0810
hex2b4f058

45412440 has 128 divisors (see below), whose sum is σ = 146266560. Its totient is φ = 11239424.

The previous prime is 45412421. The next prime is 45412447. The reversal of 45412440 is 4421454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45412440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45412447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230422 + ... + 230618.

Almost surely, 245412440 is an apocalyptic number.

45412440 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 45412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73133280).

45412440 is an abundant number, since it is smaller than the sum of its proper divisors (100854120).

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

45412440 is a wasteful number, since it uses less digits than its factorization.

45412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 45412440 is about 6738.8752770770. The cubic root of 45412440 is about 356.7726977775.

Adding to 45412440 its reverse (4421454), we get a palindrome (49833894).

The spelling of 45412440 in words is "forty-five million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 113 120 136 170 197 204 226 255 339 340 394 408 452 510 565 591 678 680 788 904 985 1020 1130 1182 1356 1576 1695 1921 1970 2040 2260 2364 2712 2955 3349 3390 3842 3940 4520 4728 5763 5910 6698 6780 7684 7880 9605 10047 11526 11820 13396 13560 15368 16745 19210 20094 22261 23052 23640 26792 28815 33490 38420 40188 44522 46104 50235 57630 66783 66980 76840 80376 89044 100470 111305 115260 133566 133960 178088 200940 222610 230520 267132 333915 378437 401880 445220 534264 667830 756874 890440 1135311 1335660 1513748 1892185 2270622 2671320 3027496 3784370 4541244 5676555 7568740 9082488 11353110 15137480 22706220 45412440