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47313072 = 243543283
BaseRepresentation
bin1011010001111…
…1000010110000
310022000202100000
42310133002300
544103004242
64410030000
71113103662
oct264370260
9108022300
1047313072
1124786014
1213a18300
139a57401
1463d8532
154248a4c
hex2d1f0b0

47313072 has 120 divisors (see below), whose sum is σ = 141004864. Its totient is φ = 15349824.

The previous prime is 47313053. The next prime is 47313073. The reversal of 47313072 is 27031374.

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

It is not an unprimeable number, because it can be changed into a prime (47313073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167043 + ... + 167325.

Almost surely, 247313072 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 47313072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502432).

47313072 is an abundant number, since it is smaller than the sum of its proper divisors (93691792).

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

47313072 is a wasteful number, since it uses less digits than its factorization.

47313072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 47313072 is about 6878.4498253604. The cubic root of 47313072 is about 361.6821278852.

The spelling of 47313072 in words is "forty-seven million, three hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 243 258 283 324 344 387 432 486 516 566 648 688 774 849 972 1032 1132 1161 1296 1548 1698 1944 2064 2264 2322 2547 3096 3396 3483 3888 4528 4644 5094 6192 6792 6966 7641 9288 10188 10449 12169 13584 13932 15282 18576 20376 20898 22923 24338 27864 30564 36507 40752 41796 45846 48676 55728 61128 68769 73014 83592 91692 97352 109521 122256 137538 146028 167184 183384 194704 219042 275076 292056 328563 366768 438084 550152 584112 657126 876168 985689 1100304 1314252 1752336 1971378 2628504 2957067 3942756 5257008 5914134 7885512 11828268 15771024 23656536 47313072