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47430144 = 29334773
BaseRepresentation
bin1011010011101…
…1101000000000
310022020200221000
42310323220000
544120231034
64412332000
71114102206
oct264735000
9108220830
1047430144
1124855a73
1213a74000
139a98798
146429076
15426d599
hex2d3ba00

47430144 has 160 divisors (see below), whose sum is σ = 145347840. Its totient is φ = 15261696.

The previous prime is 47430113. The next prime is 47430169. The reversal of 47430144 is 44103474.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649692 + ... + 649764.

It is an arithmetic number, because the mean of its divisors is an integer number (908424).

Almost surely, 247430144 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 47430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72673920).

47430144 is an abundant number, since it is smaller than the sum of its proper divisors (97917696).

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

47430144 is an equidigital number, since it uses as much as digits as its factorization.

47430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

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

The square root of 47430144 is about 6886.9546245057. The cubic root of 47430144 is about 361.9801989515.

It can be divided in two parts, 47430 and 144, that added together give a palindrome (47574).

The spelling of 47430144 in words is "forty-seven million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 73 94 96 108 128 141 144 146 188 192 216 219 256 282 288 292 376 384 423 432 438 512 564 576 584 657 752 768 846 864 876 1128 1152 1168 1269 1314 1504 1536 1692 1728 1752 1971 2256 2304 2336 2538 2628 3008 3384 3431 3456 3504 3942 4512 4608 4672 5076 5256 6016 6768 6862 6912 7008 7884 9024 9344 10152 10293 10512 12032 13536 13724 13824 14016 15768 18048 18688 20304 20586 21024 24064 27072 27448 28032 30879 31536 36096 37376 40608 41172 42048 54144 54896 56064 61758 63072 72192 81216 82344 84096 92637 108288 109792 112128 123516 126144 162432 164688 168192 185274 216576 219584 247032 252288 324864 329376 336384 370548 439168 494064 504576 649728 658752 741096 878336 988128 1009152 1317504 1482192 1756672 1976256 2635008 2964384 3952512 5270016 5928768 7905024 11857536 15810048 23715072 47430144