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472910424 = 233729113859
BaseRepresentation
bin11100001100000…
…000101001011000
31012221212100010220
4130030000221120
51432031113144
6114532040040
714501446410
oct3414005130
91187770126
10472910424
11222a44668
12112463020
1376c8ba6c
1446b43640
152b7b6919
hex1c300a58

472910424 has 128 divisors (see below), whose sum is σ = 1411776000. Its totient is φ = 129153024.

The previous prime is 472910423. The next prime is 472910483. The reversal of 472910424 is 424019274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472910423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550107 + ... + 550965.

It is an arithmetic number, because the mean of its divisors is an integer number (11029500).

Almost surely, 2472910424 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 472910424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705888000).

472910424 is an abundant number, since it is smaller than the sum of its proper divisors (938865576).

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

472910424 is a wasteful number, since it uses less digits than its factorization.

472910424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 472910424 is about 21746.5037189889. The cubic root of 472910424 is about 779.0995658014.

Adding to 472910424 its reverse (424019274), we get a palindrome (896929698).

The spelling of 472910424 in words is "four hundred seventy-two million, nine hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 113 116 168 174 203 226 232 339 348 406 452 609 678 696 791 812 859 904 1218 1356 1582 1624 1718 2373 2436 2577 2712 3164 3277 3436 4746 4872 5154 6013 6328 6554 6872 9492 9831 10308 12026 13108 18039 18984 19662 20616 22939 24052 24911 26216 36078 39324 45878 48104 49822 68817 72156 74733 78648 91756 97067 99644 137634 144312 149466 174377 183512 194134 199288 275268 291201 298932 348754 388268 523131 550536 582402 597864 679469 697508 776536 1046262 1164804 1358938 1395016 2038407 2092524 2329608 2717876 2814943 4076814 4185048 5435752 5629886 8153628 8444829 11259772 16307256 16889658 19704601 22519544 33779316 39409202 59113803 67558632 78818404 118227606 157636808 236455212 472910424