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81689472 = 27347879
BaseRepresentation
bin1001101111001…
…11101110000000
312200201020220000
410313213232000
5131403030342
612034520000
72011230504
oct467475600
9180636800
1081689472
1142125567
1223436000
1313c02387
14abc6304
15728944c
hex4de7b80

81689472 has 80 divisors (see below), whose sum is σ = 243137400. Its totient is φ = 27226368.

The previous prime is 81689467. The next prime is 81689473. The reversal of 81689472 is 27498618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81689473) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6429 + ... + 14307.

Almost surely, 281689472 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 81689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121568700).

81689472 is an abundant number, since it is smaller than the sum of its proper divisors (161447928).

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

81689472 is an equidigital number, since it uses as much as digits as its factorization.

81689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7884 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 81689472 is about 9038.2228341638. Note that the first 3 decimals coincide. The cubic root of 81689472 is about 433.8990470735.

The spelling of 81689472 in words is "eighty-one million, six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 7879 10368 15758 23637 31516 47274 63032 70911 94548 126064 141822 189096 212733 252128 283644 378192 425466 504256 567288 638199 756384 850932 1008512 1134576 1276398 1512768 1701864 2269152 2552796 3025536 3403728 4538304 5105592 6807456 9076608 10211184 13614912 20422368 27229824 40844736 81689472