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47161728 = 273240939
BaseRepresentation
bin1011001111101…
…0000110000000
310021202001201200
42303322012000
544033133403
64402501200
71111603515
oct263720600
9107661650
1047161728
1124692339
1213964800
139a03563
14639930c
154218ca3
hex2cfa180

47161728 has 48 divisors (see below), whose sum is σ = 135716100. Its totient is φ = 15720192.

The previous prime is 47161721. The next prime is 47161729. The reversal of 47161728 is 82716174.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47161692 and 47161701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47161721) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 19318 + ... + 21621.

Almost surely, 247161728 is an apocalyptic number.

47161728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47161728 is an abundant number, since it is smaller than the sum of its proper divisors (88554372).

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

47161728 is a wasteful number, since it uses less digits than its factorization.

47161728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40959 (or 40944 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 47161728 is about 6867.4396975874. The cubic root of 47161728 is about 361.2960690440.

The spelling of 47161728 in words is "forty-seven million, one hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 40939 81878 122817 163756 245634 327512 368451 491268 655024 736902 982536 1310048 1473804 1965072 2620096 2947608 3930144 5240192 5895216 7860288 11790432 15720576 23580864 47161728