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472417344 = 26327117167
BaseRepresentation
bin11100001010001…
…000010001000000
31012220221021202200
4130022020101000
51431414323334
6114513313200
714464324020
oct3412102100
91186837680
10472417344
11222738163
12112265800
1376b484b9
1446a55a80
152b71a799
hex1c288440

472417344 has 84 divisors (see below), whose sum is σ = 1547554944. Its totient is φ = 134975232.

The previous prime is 472417343. The next prime is 472417373. The reversal of 472417344 is 443714274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 472417299 and 472417308.

It is not an unprimeable number, because it can be changed into a prime (472417343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54552 + ... + 62615.

Almost surely, 2472417344 is an apocalyptic number.

It is an amenable number.

472417344 is an abundant number, since it is smaller than the sum of its proper divisors (1075137600).

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

472417344 is a wasteful number, since it uses less digits than its factorization.

472417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117192 (or 117179 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 472417344 is about 21735.1637674990. The cubic root of 472417344 is about 778.8286956140.

The spelling of 472417344 in words is "four hundred seventy-two million, four hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 117167 234334 351501 468668 703002 820169 937336 1054503 1406004 1640338 1874672 2109006 2460507 2812008 3280676 3749344 4218012 4921014 5624016 6561352 7381521 7498688 8436024 9842028 11248032 13122704 14763042 16872048 19684056 22496064 26245408 29526084 33744096 39368112 52490816 59052168 67488192 78736224 118104336 157472448 236208672 472417344