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46770040 = 23523291753
BaseRepresentation
bin1011001001101…
…0011101111000
310021000011102201
42302122131320
543433120130
64350235544
71105352542
oct262323570
9107004381
1046770040
1124445029
12137b5bb4
1398c71a5
1462d6692
15418cbca
hex2c9a778

46770040 has 64 divisors (see below), whose sum is σ = 113659200. Its totient is φ = 17267712.

The previous prime is 46770023. The next prime is 46770071. The reversal of 46770040 is 4007764.

It is a junction number, because it is equal to n+sod(n) for n = 46769990 and 46770008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25804 + ... + 27556.

It is an arithmetic number, because the mean of its divisors is an integer number (1775925).

Almost surely, 246770040 is an apocalyptic number.

46770040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56829600).

46770040 is an abundant number, since it is smaller than the sum of its proper divisors (66889160).

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

46770040 is a wasteful number, since it uses less digits than its factorization.

46770040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 46770040 is about 6838.8624785121. The cubic root of 46770040 is about 360.2930741024.

It can be divided in two parts, 467 and 70040, that added together give a palindrome (70507).

The spelling of 46770040 in words is "forty-six million, seven hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 1753 2668 3335 3506 5336 6670 7012 8765 13340 14024 17530 26680 35060 40319 50837 70120 80638 101674 161276 201595 203348 254185 322552 403190 406696 508370 806380 1016740 1169251 1612760 2033480 2338502 4677004 5846255 9354008 11692510 23385020 46770040