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447026040 = 23345281491
BaseRepresentation
bin11010101001010…
…001001101111000
31011011011021110000
4122221101031320
51403414313130
6112205153000
714035441626
oct3251211570
91134137400
10447026040
1120a37530a
1210585b760
13717c8166
1443526516
15293a2260
hex1aa51378

447026040 has 160 divisors (see below), whose sum is σ = 1510922160. Its totient is φ = 118540800.

The previous prime is 447025961. The next prime is 447026059. The reversal of 447026040 is 40620744.

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

It is a junction number, because it is equal to n+sod(n) for n = 447025995 and 447026013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 910195 + ... + 910685.

Almost surely, 2447026040 is an apocalyptic number.

447026040 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 447026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755461080).

447026040 is an abundant number, since it is smaller than the sum of its proper divisors (1063896120).

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

447026040 is a wasteful number, since it uses less digits than its factorization.

447026040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 447026040 is about 21142.9903277658. The cubic root of 447026040 is about 764.6175712522.

Adding to 447026040 its reverse (40620744), we get a palindrome (487646784).

The spelling of 447026040 in words is "four hundred forty-seven million, twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 281 324 360 405 491 540 562 648 810 843 982 1080 1124 1405 1473 1620 1686 1964 2248 2455 2529 2810 2946 3240 3372 3928 4215 4419 4910 5058 5620 5892 6744 7365 7587 8430 8838 9820 10116 11240 11784 12645 13257 14730 15174 16860 17676 19640 20232 22095 22761 25290 26514 29460 30348 33720 35352 37935 39771 44190 45522 50580 53028 58920 60696 66285 75870 79542 88380 91044 101160 106056 113805 132570 137971 151740 159084 176760 182088 198855 227610 265140 275942 303480 318168 397710 413913 455220 530280 551884 689855 795420 827826 910440 1103768 1241739 1379710 1590840 1655652 2069565 2483478 2759420 3311304 3725217 4139130 4966956 5518840 6208695 7450434 8278260 9933912 11175651 12417390 14900868 16556520 18626085 22351302 24834780 29801736 37252170 44702604 49669560 55878255 74504340 89405208 111756510 149008680 223513020 447026040