Search a number
-
+
46772740 = 2257794229
BaseRepresentation
bin1011001001101…
…1001000000100
310021000022010201
42302123020010
543433211430
64350300244
71105363450
oct262331004
9107008121
1046772740
1124447063
12137b7684
1398c84a1
1462d7660
15418d8ca
hex2c9b204

46772740 has 48 divisors (see below), whose sum is σ = 113702400. Its totient is φ = 15829632.

The previous prime is 46772701. The next prime is 46772743. The reversal of 46772740 is 4727764.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 46772740.

It is not an unprimeable number, because it can be changed into a prime (46772743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8946 + ... + 13174.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 246772740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46772740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56851200).

46772740 is an abundant number, since it is smaller than the sum of its proper divisors (66929660).

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

46772740 is a wasteful number, since it uses less digits than its factorization.

46772740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The square root of 46772740 is about 6839.0598769129. The cubic root of 46772740 is about 360.3000071203.

The spelling of 46772740 in words is "forty-six million, seven hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 4229 5530 8458 11060 16916 21145 29603 42290 59206 84580 118412 148015 296030 334091 592060 668182 1336364 1670455 2338637 3340910 4677274 6681820 9354548 11693185 23386370 46772740