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413141796 = 223783569
BaseRepresentation
bin11000101000000…
…000101100100100
31001210101210000000
4120220000230210
51321231014141
6104555021300
713144435014
oct3050005444
91053353000
10413141796
111a2231601
12b643a830
1367793202
143cc25c44
152640c5b6
hex18a00b24

413141796 has 96 divisors (see below), whose sum is σ = 1099324800. Its totient is φ = 135815616.

The previous prime is 413141791. The next prime is 413141831. The reversal of 413141796 is 697141314.

It is a super-2 number, since 2×4131417962 = 341372287204211232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413141796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413141791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725800 + ... + 726368.

It is an arithmetic number, because the mean of its divisors is an integer number (11451300).

Almost surely, 2413141796 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 413141796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549662400).

413141796 is an abundant number, since it is smaller than the sum of its proper divisors (686183004).

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

413141796 is an equidigital number, since it uses as much as digits as its factorization.

413141796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 657 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 413141796 is about 20325.8897960212. The cubic root of 413141796 is about 744.7886408516.

The spelling of 413141796 in words is "four hundred thirteen million, one hundred forty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 243 249 324 332 486 498 569 729 747 972 996 1138 1458 1494 1707 2187 2241 2276 2916 2988 3414 4374 4482 5121 6723 6828 8748 8964 10242 13446 15363 20169 20484 26892 30726 40338 46089 47227 60507 61452 80676 92178 94454 121014 138267 141681 181521 184356 188908 242028 276534 283362 363042 414801 425043 553068 566724 726084 829602 850086 1244403 1275129 1659204 1700172 2488806 2550258 3825387 4977612 5100516 7650774 11476161 15301548 22952322 34428483 45904644 68856966 103285449 137713932 206570898 413141796