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47123208 = 2334112601
BaseRepresentation
bin1011001111000…
…0101100001000
310021200002220000
42303300230020
544030420313
64402003000
71111353306
oct263605410
9107602800
1047123208
1124666400
1213946460
1399bbb72
146389276
15420c673
hex2cf0b08

47123208 has 120 divisors (see below), whose sum is σ = 145319790. Its totient is φ = 14256000.

The previous prime is 47123203. The next prime is 47123213. The reversal of 47123208 is 80232174.

It is an interprime number because it is at equal distance from previous prime (47123203) and next prime (47123213).

It can be written as a sum of positive squares in only one way, i.e., 32970564 + 14152644 = 5742^2 + 3762^2 .

It is a super-2 number, since 2×471232082 = 4441193464422528, which contains 22 as substring.

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 (47123203) 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 29 ways as a sum of consecutive naturals, for example, 78108 + ... + 78708.

Almost surely, 247123208 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 47123208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72659895).

47123208 is an abundant number, since it is smaller than the sum of its proper divisors (98196582).

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

47123208 is a wasteful number, since it uses less digits than its factorization.

47123208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47123208 is about 6864.6345860504. The cubic root of 47123208 is about 361.1976777149.

The spelling of 47123208 in words is "forty-seven million, one hundred twenty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 601 648 726 792 891 968 1089 1188 1202 1452 1782 1803 2178 2376 2404 2904 3267 3564 3606 4356 4808 5409 6534 6611 7128 7212 8712 9801 10818 13068 13222 14424 16227 19602 19833 21636 26136 26444 32454 39204 39666 43272 48681 52888 59499 64908 72721 78408 79332 97362 118998 129816 145442 158664 178497 194724 218163 237996 290884 356994 389448 436326 475992 535491 581768 654489 713988 872652 1070982 1308978 1427976 1745304 1963467 2141964 2617956 3926934 4283928 5235912 5890401 7853868 11780802 15707736 23561604 47123208