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412117488 = 24322861927
BaseRepresentation
bin11000100100000…
…110100111110000
31001201110201220200
4120210012213300
51321000224423
6104521035200
713132640466
oct3044064760
91051421820
10412117488
111a16a1a72
12b6025b00
13674c4c03
143ca3a836
15262a8d43
hex189069f0

412117488 has 30 divisors (see below), whose sum is σ = 1153356984. Its totient is φ = 137372448.

The previous prime is 412117487. The next prime is 412117501. The reversal of 412117488 is 884711214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412117487) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1430820 + ... + 1431107.

Almost surely, 2412117488 is an apocalyptic number.

412117488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412117488 is an abundant number, since it is smaller than the sum of its proper divisors (741239496).

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

412117488 is a wasteful number, since it uses less digits than its factorization.

412117488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861941 (or 2861932 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 412117488 is about 20300.6770330450. The cubic root of 412117488 is about 744.1726099683.

It can be divided in two parts, 4121 and 17488, that added together give a square (21609 = 1472).

The spelling of 412117488 in words is "four hundred twelve million, one hundred seventeen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2861927 5723854 8585781 11447708 17171562 22895416 25757343 34343124 45790832 51514686 68686248 103029372 137372496 206058744 412117488