Search a number
-
+
47496978 = 23223472441
BaseRepresentation
bin1011010100101…
…1111100010010
310022101002121100
42311023330102
544124400403
64414005230
71114501104
oct265137422
9108332540
1047496978
11248a1201
1213aa6816
139ac0029
146445574
1542832a3
hex2d4bf12

47496978 has 48 divisors (see below), whose sum is σ = 109714176. Its totient is φ = 14815680.

The previous prime is 47496973. The next prime is 47496989. The reversal of 47496978 is 87969474.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47496973) 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, 18238 + ... + 20678.

It is an arithmetic number, because the mean of its divisors is an integer number (2285712).

Almost surely, 247496978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47496978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54857088).

47496978 is an abundant number, since it is smaller than the sum of its proper divisors (62217198).

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

47496978 is a wasteful number, since it uses less digits than its factorization.

47496978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2516 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 47496978 is about 6891.8051336352. The cubic root of 47496978 is about 362.1501417219.

It can be divided in two parts, 47 and 496978, that added together give a square (497025 = 7052).

The spelling of 47496978 in words is "forty-seven million, four hundred ninety-six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 138 141 207 282 414 423 846 1081 2162 2441 3243 4882 6486 7323 9729 14646 19458 21969 43938 56143 112286 114727 168429 229454 336858 344181 505287 688362 1010574 1032543 2065086 2638721 5277442 7916163 15832326 23748489 47496978