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47005272 = 2334172251
BaseRepresentation
bin1011001101001…
…1111001011000
310021110010010000
42303103321120
544013132042
64355253000
71110352416
oct263237130
9107403100
1047005272
1124595836
12138aa160
13997a292
1463582b6
1541d774c
hex2cd3e58

47005272 has 120 divisors (see below), whose sum is σ = 140415660. Its totient is φ = 14688000.

The previous prime is 47005267. The next prime is 47005279. The reversal of 47005272 is 27250074.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47005279) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 187147 + ... + 187397.

Almost surely, 247005272 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 47005272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70207830).

47005272 is an abundant number, since it is smaller than the sum of its proper divisors (93410388).

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

47005272 is a wasteful number, since it uses less digits than its factorization.

47005272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 47005272 is about 6856.0390897369. The cubic root of 47005272 is about 360.8961009357.

The spelling of 47005272 in words is "forty-seven million, five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 251 289 306 324 408 459 502 578 612 648 753 867 918 1004 1156 1224 1377 1506 1734 1836 2008 2259 2312 2601 2754 3012 3468 3672 4267 4518 5202 5508 6024 6777 6936 7803 8534 9036 10404 11016 12801 13554 15606 17068 18072 20331 20808 23409 25602 27108 31212 34136 38403 40662 46818 51204 54216 62424 72539 76806 81324 93636 102408 115209 145078 153612 162648 187272 217617 230418 290156 307224 345627 435234 460836 580312 652851 691254 870468 921672 1305702 1382508 1740936 1958553 2611404 2765016 3917106 5222808 5875659 7834212 11751318 15668424 23502636 47005272