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40445440 = 29573761
BaseRepresentation
bin1001101001001…
…0011000000000
32211002211201021
42122102120000
540323223230
64002515224
71000531510
oct232223000
984084637
1040445440
1120915292
1211665b14
1384c1519
14552b840
15383dc7a
hex2692600

40445440 has 160 divisors (see below), whose sum is σ = 115689024. Its totient is φ = 13271040.

The previous prime is 40445437. The next prime is 40445443. The reversal of 40445440 is 4454404.

It is an interprime number because it is at equal distance from previous prime (40445437) and next prime (40445443).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40445443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663010 + ... + 663070.

Almost surely, 240445440 is an apocalyptic number.

40445440 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 40445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57844512).

40445440 is an abundant number, since it is smaller than the sum of its proper divisors (75243584).

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

40445440 is an equidigital number, since it uses as much as digits as its factorization.

40445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 40445440 is about 6359.6729475658. The cubic root of 40445440 is about 343.2599920845.

Adding to 40445440 its reverse (4454404), we get a palindrome (44899844).

The spelling of 40445440 in words is "forty million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 61 64 70 74 80 112 122 128 140 148 160 185 224 244 256 259 280 296 305 320 370 427 448 488 512 518 560 592 610 640 740 854 896 976 1036 1120 1184 1220 1280 1295 1480 1708 1792 1952 2072 2135 2240 2257 2368 2440 2560 2590 2960 3416 3584 3904 4144 4270 4480 4514 4736 4880 5180 5920 6832 7808 8288 8540 8960 9028 9472 9760 10360 11285 11840 13664 15616 15799 16576 17080 17920 18056 18944 19520 20720 22570 23680 27328 31232 31598 33152 34160 36112 39040 41440 45140 47360 54656 63196 66304 68320 72224 78080 78995 82880 90280 94720 109312 126392 132608 136640 144448 156160 157990 165760 180560 218624 252784 273280 288896 315980 331520 361120 505568 546560 577792 631960 663040 722240 1011136 1093120 1155584 1263920 1444480 2022272 2527840 2888960 4044544 5055680 5777920 8089088 10111360 20222720 40445440