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80031744 = 2123213167
BaseRepresentation
bin1001100010100…
…11000000000000
312120121000220200
410301103000000
5130442003434
611535205200
71661154462
oct461230000
9176530820
1080031744
11411a3041
1222976800
1313771980
14a8b4132
15705d199
hex4c53000

80031744 has 156 divisors (see below), whose sum is σ = 250448016. Its totient is φ = 24477696.

The previous prime is 80031727. The next prime is 80031751. The reversal of 80031744 is 44713008.

It is a tau number, because it is divible by the number of its divisors (156).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479149 + ... + 479315.

It is an arithmetic number, because the mean of its divisors is an integer number (1605436).

Almost surely, 280031744 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 80031744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125224008).

80031744 is an abundant number, since it is smaller than the sum of its proper divisors (170416272).

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

80031744 is a wasteful number, since it uses less digits than its factorization.

80031744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 80031744 is about 8946.0462775463. The cubic root of 80031744 is about 430.9439224489.

The spelling of 80031744 in words is "eighty million, thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 167 192 208 234 256 288 312 334 384 416 468 501 512 576 624 668 768 832 936 1002 1024 1152 1248 1336 1503 1536 1664 1872 2004 2048 2171 2304 2496 2672 3006 3072 3328 3744 4008 4096 4342 4608 4992 5344 6012 6144 6513 6656 7488 8016 8684 9216 9984 10688 12024 12288 13026 13312 14976 16032 17368 18432 19539 19968 21376 24048 26052 26624 29952 32064 34736 36864 39078 39936 42752 48096 52104 53248 59904 64128 69472 78156 79872 85504 96192 104208 119808 128256 138944 156312 159744 171008 192384 208416 239616 256512 277888 312624 342016 384768 416832 479232 513024 555776 625248 684032 769536 833664 1026048 1111552 1250496 1539072 1667328 2052096 2223104 2500992 3078144 3334656 4446208 5001984 6156288 6669312 8892416 10003968 13338624 20007936 26677248 40015872 80031744