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47616768 = 2833832
BaseRepresentation
bin1011010110100…
…1001100000000
310022121011221000
42311221030000
544142214033
64420332000
71115510253
oct265511400
9108534830
1047616768
1124973201
1213b44000
139b32704
14647709a
1542a8a13
hex2d69300

47616768 has 108 divisors (see below), whose sum is σ = 142528120. Its totient is φ = 15681024.

The previous prime is 47616763. The next prime is 47616773. The reversal of 47616768 is 86761674.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (47616763) and next prime (47616773).

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (47616763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573655 + ... + 573737.

Almost surely, 247616768 is an apocalyptic number.

47616768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71264060).

47616768 is an abundant number, since it is smaller than the sum of its proper divisors (94911352).

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

47616768 is an frugal number, since it uses more digits than its factorization.

47616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 88 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 47616768 is about 6900.4904173544. The cubic root of 47616768 is about 362.4543403450.

Multiplying 47616768 by its product of digits (338688), we get a square (16127227920384 = 40158722).

It can be divided in two parts, 47616 and 768, that added together give a palindrome (48384).

The spelling of 47616768 in words is "forty-seven million, six hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 256 288 332 384 432 498 576 664 747 768 864 996 1152 1328 1494 1728 1992 2241 2304 2656 2988 3456 3984 4482 5312 5976 6889 6912 7968 8964 10624 11952 13778 15936 17928 20667 21248 23904 27556 31872 35856 41334 47808 55112 62001 63744 71712 82668 95616 110224 124002 143424 165336 186003 191232 220448 248004 286848 330672 372006 440896 496008 573696 661344 744012 881792 992016 1322688 1488024 1763584 1984032 2645376 2976048 3968064 5290752 5952096 7936128 11904192 15872256 23808384 47616768