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40445460 = 22335112619
BaseRepresentation
bin1001101001001…
…0011000010100
32211002211202000
42122102120110
540323223320
64002515300
71000531536
oct232223024
984084660
1040445460
1120915300
1211665b30
1384c1533
14552b856
15383dc90
hex2692614

40445460 has 144 divisors (see below), whose sum is σ = 138532800. Its totient is φ = 9789120.

The previous prime is 40445443. The next prime is 40445467. The reversal of 40445460 is 6454404.

It is a super-2 number, since 2×404454602 = 3271670469223200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40445467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65031 + ... + 65649.

Almost surely, 240445460 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 40445460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69266400).

40445460 is an abundant number, since it is smaller than the sum of its proper divisors (98087340).

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

40445460 is a wasteful number, since it uses less digits than its factorization.

40445460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40445460 is about 6359.6745199735. The cubic root of 40445460 is about 343.2600486645.

Adding to 40445460 its reverse (6454404), we get a palindrome (46899864).

The spelling of 40445460 in words is "forty million, four hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 619 660 726 990 1089 1188 1210 1238 1452 1485 1815 1857 1980 2178 2420 2476 2970 3095 3267 3630 3714 4356 5445 5571 5940 6190 6534 6809 7260 7428 9285 10890 11142 12380 13068 13618 16335 16713 18570 20427 21780 22284 27236 27855 32670 33426 34045 37140 40854 55710 61281 65340 66852 68090 74899 81708 83565 102135 111420 122562 136180 149798 167130 183843 204270 224697 245124 299596 306405 334260 367686 374495 408540 449394 612810 674091 735372 748990 898788 919215 1123485 1225620 1348182 1497980 1838430 2022273 2246970 2696364 3370455 3676860 4044546 4493940 6740910 8089092 10111365 13481820 20222730 40445460