Search a number
-
+
47073450 = 23521983199
BaseRepresentation
bin1011001110010…
…0100010101010
310021120120122010
42303210202222
544022322300
64400540350
71111055244
oct263444252
9107516563
1047073450
1124631a86
12139216b6
1399a2318
146375094
1541eca50
hex2ce48aa

47073450 has 96 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 11689920.

The previous prime is 47073449. The next prime is 47073451. The reversal of 47073450 is 5437074.

It is an interprime number because it is at equal distance from previous prime (47073449) and next prime (47073451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (47073451) 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, 236451 + ... + 236649.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 247073450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47073450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

47073450 is an abundant number, since it is smaller than the sum of its proper divisors (77918550).

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

47073450 is a wasteful number, since it uses less digits than its factorization.

47073450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 47073450 is about 6861.0094009555. The cubic root of 47073450 is about 361.0705018546.

It can be divided in two parts, 470 and 73450, that added together give a triangular number (73920 = T384).

The spelling of 47073450 in words is "forty-seven million, seventy-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 83 95 114 150 166 190 199 249 285 398 415 475 498 570 597 830 950 995 1194 1245 1425 1577 1990 2075 2490 2850 2985 3154 3781 4150 4731 4975 5970 6225 7562 7885 9462 9950 11343 12450 14925 15770 16517 18905 22686 23655 29850 33034 37810 39425 47310 49551 56715 78850 82585 94525 99102 113430 118275 165170 189050 236550 247755 283575 313823 412925 495510 567150 627646 825850 941469 1238775 1569115 1882938 2477550 3138230 4707345 7845575 9414690 15691150 23536725 47073450