Search a number
-
+
46304040 = 2335834649
BaseRepresentation
bin1011000010100…
…0101100101000
310020010111012110
42300220230220
543323212130
64332242320
71101402126
oct260505450
9106114173
1046304040
1124156a02
12136103a0
139793053
146214916
1540e9ab0
hex2c28b28

46304040 has 64 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 12196352.

The previous prime is 46304021. The next prime is 46304051. The reversal of 46304040 is 4040364.

It is a junction number, because it is equal to n+sod(n) for n = 46303998 and 46304016.

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, 7636 + ... + 12284.

It is an arithmetic number, because the mean of its divisors is an integer number (2197125).

Almost surely, 246304040 is an apocalyptic number.

46304040 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 46304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

46304040 is an abundant number, since it is smaller than the sum of its proper divisors (94311960).

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

46304040 is a wasteful number, since it uses less digits than its factorization.

46304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 46304040 is about 6804.7071942884. The cubic root of 46304040 is about 359.0924671872.

The spelling of 46304040 in words is "forty-six million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4649 4980 9298 9960 13947 18596 23245 27894 37192 46490 55788 69735 92980 111576 139470 185960 278940 385867 557880 771734 1157601 1543468 1929335 2315202 3086936 3858670 4630404 5788005 7717340 9260808 11576010 15434680 23152020 46304040