Search a number
-
+
46900728 = 2333731019
BaseRepresentation
bin1011001011101…
…0010111111000
310021020210201000
42302322113320
544001310403
64353125000
71106435550
oct262722770
9107223630
1046900728
1124524236
1213859760
139941814
14632c160
1541b67a3
hex2cba5f8

46900728 has 64 divisors (see below), whose sum is σ = 148896000. Its totient is φ = 13399776.

The previous prime is 46900709. The next prime is 46900729. The reversal of 46900728 is 82700964.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 46900692 and 46900701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46900729) 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, 13998 + ... + 17021.

It is an arithmetic number, because the mean of its divisors is an integer number (2326500).

Almost surely, 246900728 is an apocalyptic number.

It is an amenable number.

46900728 is an abundant number, since it is smaller than the sum of its proper divisors (101995272).

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

46900728 is a wasteful number, since it uses less digits than its factorization.

46900728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31041 (or 31031 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 46900728 is about 6848.4106185304. The cubic root of 46900728 is about 360.6283470840.

The spelling of 46900728 in words is "forty-six million, nine hundred thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 31019 62038 93057 124076 186114 217133 248152 279171 372228 434266 558342 651399 744456 837513 868532 1116684 1302798 1675026 1737064 1954197 2233368 2605596 3350052 3908394 5211192 5862591 6700104 7816788 11725182 15633576 23450364 46900728