Search a number
-
+
46235840 = 265720641
BaseRepresentation
bin1011000001100…
…0000011000000
310020000000122112
42300120003000
543314021330
64330554452
71100666240
oct260300300
9106000575
1046235840
112410a742
1213598a28
13976acb1
1461d7b20
1540d4795
hex2c180c0

46235840 has 56 divisors (see below), whose sum is σ = 125833632. Its totient is φ = 15851520.

The previous prime is 46235803. The next prime is 46235851. The reversal of 46235840 is 4853264.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 46235797 and 46235806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8081 + ... + 12560.

Almost surely, 246235840 is an apocalyptic number.

46235840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46235840 is an abundant number, since it is smaller than the sum of its proper divisors (79597792).

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

46235840 is a wasteful number, since it uses less digits than its factorization.

46235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20665 (or 20655 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 46235840 is about 6799.6941107670. The cubic root of 46235840 is about 358.9160812842.

The spelling of 46235840 in words is "forty-six million, two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 20641 41282 82564 103205 144487 165128 206410 288974 330256 412820 577948 660512 722435 825640 1155896 1321024 1444870 1651280 2311792 2889740 3302560 4623584 5779480 6605120 9247168 11558960 23117920 46235840