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47023218 = 232113147163
BaseRepresentation
bin1011001101100…
…0010001110010
310021111000201200
42303120101302
544014220333
64355512030
71110455634
oct263302162
9107430650
1047023218
11245a8270
12138b8616
1399854b8
146360a54
1541dcc13
hex2cd8472

47023218 has 96 divisors (see below), whose sum is σ = 117891072. Its totient is φ = 13413600.

The previous prime is 47023217. The next prime is 47023237. The reversal of 47023218 is 81232074.

It is a super-2 number, since 2×470232182 = 4422366062151048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47023191 and 47023200.

It is not an unprimeable number, because it can be changed into a prime (47023211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288405 + ... + 288567.

It is an arithmetic number, because the mean of its divisors is an integer number (1228032).

Almost surely, 247023218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47023218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58945536).

47023218 is an abundant number, since it is smaller than the sum of its proper divisors (70867854).

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

47023218 is a wasteful number, since it uses less digits than its factorization.

47023218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

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

The square root of 47023218 is about 6857.3477380107. The cubic root of 47023218 is about 360.9420235673.

Subtracting 47023218 from its reverse (81232074), we obtain a triangular number (34208856 = T8271).

The spelling of 47023218 in words is "forty-seven million, twenty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 47 62 66 93 94 99 141 163 186 198 279 282 326 341 423 489 517 558 682 846 978 1023 1034 1457 1467 1551 1793 2046 2914 2934 3069 3102 3586 4371 4653 5053 5379 6138 7661 8742 9306 10106 10758 13113 15159 15322 16027 16137 22983 26226 30318 32054 32274 45477 45966 48081 55583 68949 84271 90954 96162 111166 137898 144243 166749 168542 237491 252813 288486 333498 474982 500247 505626 712473 758439 1000494 1424946 1516878 2137419 2612401 4274838 5224802 7837203 15674406 23511609 47023218