Search a number
-
+
47210040 = 233651619
BaseRepresentation
bin1011010000010…
…1111000111000
310021211112000000
42310011320320
544041210130
64403513000
71112164413
oct264057070
9107745000
1047210040
1124715669
1213988760
139a1c547
1463acb7a
154228260
hex2d05e38

47210040 has 112 divisors (see below), whose sum is σ = 159359400. Its totient is φ = 12581568.

The previous prime is 47210021. The next prime is 47210047. The reversal of 47210040 is 4001274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 47209995 and 47210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47210047) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28351 + ... + 29969.

Almost surely, 247210040 is an apocalyptic number.

47210040 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 47210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79679700).

47210040 is an abundant number, since it is smaller than the sum of its proper divisors (112149360).

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

47210040 is a wasteful number, since it uses less digits than its factorization.

47210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 47210040 is about 6870.9562653244. The cubic root of 47210040 is about 361.4193962954.

The spelling of 47210040 in words is "forty-seven million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1619 1620 1944 2430 2916 3238 3240 3645 4857 4860 5832 6476 7290 8095 9714 9720 12952 14571 14580 16190 19428 24285 29142 29160 32380 38856 43713 48570 58284 64760 72855 87426 97140 116568 131139 145710 174852 194280 218565 262278 291420 349704 393417 437130 524556 582840 655695 786834 874260 1049112 1180251 1311390 1573668 1748520 1967085 2360502 2622780 3147336 3934170 4721004 5245560 5901255 7868340 9442008 11802510 15736680 23605020 47210040