Search a number
-
+
46379700 = 223252291777
BaseRepresentation
bin1011000011101…
…1001010110100
310020021022222200
42300323022310
543333122300
64334024500
71102135533
oct260731264
9106238880
1046379700
11241a8834
1213648130
1397bb613
14623431a
154112200
hex2c3b2b4

46379700 has 108 divisors (see below), whose sum is σ = 150472140. Its totient is φ = 11934720.

The previous prime is 46379687. The next prime is 46379701. The reversal of 46379700 is 797364.

46379700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 736164 + 45643536 = 858^2 + 6756^2 .

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 (46379701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25212 + ... + 26988.

Almost surely, 246379700 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 46379700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75236070).

46379700 is an abundant number, since it is smaller than the sum of its proper divisors (104092440).

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

46379700 is a wasteful number, since it uses less digits than its factorization.

46379700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 46379700 is about 6810.2643120513. The cubic root of 46379700 is about 359.2879443826.

The spelling of 46379700 in words is "forty-six million, three hundred seventy-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 1777 2175 2610 2900 3554 4350 5220 5331 6525 7108 8700 8885 10662 13050 15993 17770 21324 26100 26655 31986 35540 44425 51533 53310 63972 79965 88850 103066 106620 133275 154599 159930 177700 206132 257665 266550 309198 319860 399825 463797 515330 533100 618396 772995 799650 927594 1030660 1288325 1545990 1599300 1855188 2318985 2576650 3091980 3864975 4637970 5153300 7729950 9275940 11594925 15459900 23189850 46379700