Search a number
-
+
410052104 = 237111739157
BaseRepresentation
bin11000011100001…
…110011000001000
31001120120210201222
4120130032120020
51314433131404
6104404501212
713106246120
oct3034163010
91046523658
10410052104
111a0511240
12b53aa808
1366c50aa7
143c65dc80
1525eebdbe
hex1870e608

410052104 has 64 divisors (see below), whose sum is σ = 1014975360. Its totient is φ = 150359040.

The previous prime is 410052079. The next prime is 410052109. The reversal of 410052104 is 401250014.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (410052109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9107 + ... + 30050.

It is an arithmetic number, because the mean of its divisors is an integer number (15858990).

Almost surely, 2410052104 is an apocalyptic number.

410052104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

410052104 is an abundant number, since it is smaller than the sum of its proper divisors (604923256).

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

410052104 is a wasteful number, since it uses less digits than its factorization.

410052104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39198 (or 39194 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 410052104 is about 20249.7433070150. The cubic root of 410052104 is about 742.9273526061.

The spelling of 410052104 in words is "four hundred ten million, fifty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 10472 39157 78314 156628 274099 313256 430727 548198 665669 861454 1096396 1331338 1722908 2192792 2662676 3015089 3445816 4659683 5325352 6030178 7322359 9319366 12060356 14644718 18638732 24120712 29289436 37277464 51256513 58578872 102513026 205026052 410052104