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412040004 = 2231929101617
BaseRepresentation
bin11000100011110…
…011101101000100
31001201022210121220
4120203303231010
51320440240004
6104515240340
713132165545
oct3043635504
91051283556
10412040004
111a1649832
12b5ba90b0
136749886c
143ca1a4cc
1526290dd9
hex188f3b44

412040004 has 96 divisors (see below), whose sum is σ = 1059004800. Its totient is φ = 124185600.

The previous prime is 412039973. The next prime is 412040093. The reversal of 412040004 is 400040214.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667504 + ... + 668120.

It is an arithmetic number, because the mean of its divisors is an integer number (11031300).

Almost surely, 2412040004 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 412040004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529502400).

412040004 is an abundant number, since it is smaller than the sum of its proper divisors (646964796).

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

412040004 is a wasteful number, since it uses less digits than its factorization.

412040004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 412040004 is about 20298.7685340761. The cubic root of 412040004 is about 744.1259686695.

Adding to 412040004 its reverse (400040214), we get a palindrome (812080218).

The spelling of 412040004 in words is "four hundred twelve million, forty thousand, four".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 101 114 116 174 202 228 303 348 404 551 606 617 1102 1212 1234 1653 1851 1919 2204 2468 2929 3306 3702 3838 5757 5858 6612 7404 7676 8787 11514 11716 11723 17574 17893 23028 23446 35148 35169 35786 46892 53679 55651 62317 70338 71572 107358 111302 124634 140676 166953 186951 214716 222604 249268 333906 339967 373902 667812 679934 747804 1019901 1184023 1359868 1807193 2039802 2368046 3552069 3614386 4079604 4736092 5421579 7104138 7228772 10843158 14208276 21686316 34336667 68673334 103010001 137346668 206020002 412040004