Search a number
-
+
47019672 = 23327293217
BaseRepresentation
bin1011001101011…
…1011010011000
310021110211212100
42303113122120
544014112142
64355443400
71110442410
oct263273230
9107424770
1047019672
11245a5637
12138b6560
1399839bb
14635d640
1541dbb4c
hex2cd7698

47019672 has 96 divisors (see below), whose sum is σ = 150602400. Its totient is φ = 12966912.

The previous prime is 47019619. The next prime is 47019677. The reversal of 47019672 is 27691074.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47019677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13008 + ... + 16224.

It is an arithmetic number, because the mean of its divisors is an integer number (1568775).

Almost surely, 247019672 is an apocalyptic number.

47019672 is a gapful number since it is divisible by the number (42) 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 47019672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75301200).

47019672 is an abundant number, since it is smaller than the sum of its proper divisors (103582728).

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

47019672 is a wasteful number, since it uses less digits than its factorization.

47019672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 47019672 is about 6857.0891783613. The cubic root of 47019672 is about 360.9329505133.

The spelling of 47019672 in words is "forty-seven million, nineteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3217 3654 4872 6434 7308 9651 12868 14616 19302 22519 25736 28953 38604 45038 57906 67557 77208 90076 93293 115812 135114 180152 186586 202671 231624 270228 279879 373172 405342 540456 559758 653051 746344 810684 839637 1119516 1306102 1621368 1679274 1959153 2239032 2612204 3358548 3918306 5224408 5877459 6717096 7836612 11754918 15673224 23509836 47019672