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47138040 = 23325235693
BaseRepresentation
bin1011001111010…
…0010011111000
310021200212020100
42303310103320
544031404130
64402155400
71111444455
oct263642370
9107625210
1047138040
1124676564
1213952b60
1399c5841
14639082c
154211c60
hex2cf44f8

47138040 has 96 divisors (see below), whose sum is σ = 159887520. Its totient is φ = 12021504.

The previous prime is 47138009. The next prime is 47138057. The reversal of 47138040 is 4083174.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 47137995 and 47138013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5434 + ... + 11126.

It is an arithmetic number, because the mean of its divisors is an integer number (1665495).

Almost surely, 247138040 is an apocalyptic number.

47138040 is a gapful number since it is divisible by the number (40) 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 47138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79943760).

47138040 is an abundant number, since it is smaller than the sum of its proper divisors (112749480).

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

47138040 is a wasteful number, since it uses less digits than its factorization.

47138040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733 (or 5726 counting only the distinct ones).

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

The square root of 47138040 is about 6865.7148207597. The cubic root of 47138040 is about 361.2355693201.

The spelling of 47138040 in words is "forty-seven million, one hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 5693 8280 11386 17079 22772 28465 34158 45544 51237 56930 68316 85395 102474 113860 130939 136632 170790 204948 227720 256185 261878 341580 392817 409896 512370 523756 654695 683160 785634 1024740 1047512 1178451 1309390 1571268 1964085 2049480 2356902 2618780 3142536 3928170 4713804 5237560 5892255 7856340 9427608 11784510 15712680 23569020 47138040