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406422972 = 223223490849
BaseRepresentation
bin11000001110011…
…000010110111100
31001022202102111200
4120032120112330
51313021013342
6104155015500
713033352424
oct3016302674
91038672450
10406422972
1119946265a
12b413a590
136627cc87
143bd97484
1525a3194c
hex183985bc

406422972 has 36 divisors (see below), whose sum is σ = 1072016400. Its totient is φ = 129583872.

The previous prime is 406422953. The next prime is 406422983. The reversal of 406422972 is 279224604.

406422972 is a `hidden beast` number, since 4 + 0 + 642 + 2 + 9 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 244597 + ... + 246252.

Almost surely, 2406422972 is an apocalyptic number.

It is an amenable number.

406422972 is an abundant number, since it is smaller than the sum of its proper divisors (665593428).

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

406422972 is a wasteful number, since it uses less digits than its factorization.

406422972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490882 (or 490877 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 406422972 is about 20159.9348213232. The cubic root of 406422972 is about 740.7291158014.

The spelling of 406422972 in words is "four hundred six million, four hundred twenty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 490849 981698 1472547 1963396 2945094 4417641 5890188 8835282 11289527 17670564 22579054 33868581 45158108 67737162 101605743 135474324 203211486 406422972