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472708224 = 2734127359
BaseRepresentation
bin11100001011001…
…111010010000000
31012221111001210000
4130023033102000
51432003130344
6114523440000
714466645042
oct3413172200
91187431700
10472708224
1122291675a
12112386000
1376c1aa11
1446acda92
152b776a69
hex1c2cf480

472708224 has 160 divisors (see below), whose sum is σ = 1421798400. Its totient is φ = 155893248.

The previous prime is 472708217. The next prime is 472708237. The reversal of 472708224 is 422807274.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1316557 + ... + 1316915.

It is an arithmetic number, because the mean of its divisors is an integer number (8886240).

Almost surely, 2472708224 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 472708224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710899200).

472708224 is an abundant number, since it is smaller than the sum of its proper divisors (949090176).

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

472708224 is a wasteful number, since it uses less digits than its factorization.

472708224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 472708224 is about 21741.8541987568. The cubic root of 472708224 is about 778.9885113737.

The spelling of 472708224 in words is "four hundred seventy-two million, seven hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 128 144 162 192 216 254 288 324 359 381 384 432 508 576 648 718 762 864 1016 1077 1143 1152 1296 1436 1524 1728 2032 2154 2286 2592 2872 3048 3231 3429 3456 4064 4308 4572 5184 5744 6096 6462 6858 8128 8616 9144 9693 10287 10368 11488 12192 12924 13716 16256 17232 18288 19386 20574 22976 24384 25848 27432 29079 34464 36576 38772 41148 45593 45952 48768 51696 54864 58158 68928 73152 77544 82296 91186 103392 109728 116316 136779 137856 146304 155088 164592 182372 206784 219456 232632 273558 310176 329184 364744 410337 413568 438912 465264 547116 620352 658368 729488 820674 930528 1094232 1231011 1240704 1316736 1458976 1641348 1861056 2188464 2462022 2917952 3282696 3693033 3722112 4376928 4924044 5835904 6565392 7386066 8753856 9848088 13130784 14772132 17507712 19696176 26261568 29544264 39392352 52523136 59088528 78784704 118177056 157569408 236354112 472708224