Search a number
-
+
46460460 = 223523131257
BaseRepresentation
bin1011000100111…
…0111000101100
310020102102202210
42301032320230
543343213320
64335450420
71102623144
oct261167054
9106372683
1046460460
1124253482
1213686a10
1398192c7
146255924
15412b0e0
hex2c4ee2c

46460460 has 96 divisors (see below), whose sum is σ = 137313792. Its totient is φ = 11714560.

The previous prime is 46460441. The next prime is 46460461. The reversal of 46460460 is 6406464.

46460460 = T131 + T132 + ... + T654.

46460460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46460461) 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 31 ways as a sum of consecutive naturals, for example, 180652 + ... + 180908.

It is an arithmetic number, because the mean of its divisors is an integer number (1430352).

Almost surely, 246460460 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 46460460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68656896).

46460460 is an abundant number, since it is smaller than the sum of its proper divisors (90853332).

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

46460460 is a wasteful number, since it uses less digits than its factorization.

46460460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 46460460 is about 6816.1910184501. The cubic root of 46460460 is about 359.4963636476.

The spelling of 46460460 in words is "forty-six million, four hundred sixty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 131 138 230 257 262 276 345 393 460 514 524 655 690 771 786 1028 1285 1310 1380 1542 1572 1965 2570 2620 3013 3084 3855 3930 5140 5911 6026 7710 7860 9039 11822 12052 15065 15420 17733 18078 23644 29555 30130 33667 35466 36156 45195 59110 60260 67334 70932 88665 90390 101001 118220 134668 168335 177330 180780 202002 336670 354660 404004 505005 673340 774341 1010010 1548682 2020020 2323023 3097364 3871705 4646046 7743410 9292092 11615115 15486820 23230230 46460460