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492972144 = 24372209597
BaseRepresentation
bin11101011000100…
…010100001110000
31021100121120122120
4131120202201300
52002200102034
6120530034240
715134123400
oct3530424160
91240546576
10492972144
112332a72a5
12119118980
137b1942c2
1449686800
152d42ac49
hex1d622870

492972144 has 60 divisors (see below), whose sum is σ = 1481438664. Its totient is φ = 140848512.

The previous prime is 492972121. The next prime is 492972187. The reversal of 492972144 is 441279294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 492972096 and 492972105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102447 + ... + 107150.

Almost surely, 2492972144 is an apocalyptic number.

It is an amenable number.

492972144 is an abundant number, since it is smaller than the sum of its proper divisors (988466520).

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

492972144 is a wasteful number, since it uses less digits than its factorization.

492972144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209622 (or 209609 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 492972144 is about 22202.9760167415. The cubic root of 492972144 is about 789.9642904331.

The spelling of 492972144 in words is "four hundred ninety-two million, nine hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 209597 419194 628791 838388 1257582 1467179 1676776 2515164 2934358 3353552 4401537 5030328 5868716 8803074 10060656 10270253 11737432 17606148 20540506 23474864 30810759 35212296 41081012 61621518 70424592 82162024 123243036 164324048 246486072 492972144