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472121430 = 235112831567
BaseRepresentation
bin11100001001000…
…000000001010110
31012220101020211220
4130021000001112
51431330341210
6114503111210
714461652214
oct3411000126
91186336756
10472121430
11222555900
12112142506
1376a738c1
14469b9cb4
152b6acc70
hex1c240056

472121430 has 96 divisors (see below), whose sum is σ = 1261274112. Its totient is φ = 113002560.

The previous prime is 472121417. The next prime is 472121431. The reversal of 472121430 is 34121274.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 472121430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472121431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300507 + ... + 302073.

It is an arithmetic number, because the mean of its divisors is an integer number (13138272).

Almost surely, 2472121430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472121430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630637056).

472121430 is an abundant number, since it is smaller than the sum of its proper divisors (789152682).

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

472121430 is a wasteful number, since it uses less digits than its factorization.

472121430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 472121430 is about 21728.3554370781. The cubic root of 472121430 is about 778.6660467370. Note that the first 3 decimals are identical.

The spelling of 472121430 in words is "four hundred seventy-two million, one hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 121 165 166 242 249 330 363 415 498 605 726 830 913 1210 1245 1567 1815 1826 2490 2739 3134 3630 4565 4701 5478 7835 9130 9402 10043 13695 15670 17237 20086 23505 27390 30129 34474 47010 50215 51711 60258 86185 100430 103422 130061 150645 172370 189607 258555 260122 301290 379214 390183 517110 568821 650305 780366 948035 1137642 1300610 1430671 1896070 1950915 2844105 2861342 3901830 4292013 5688210 7153355 8584026 14306710 15737381 21460065 31474762 42920130 47212143 78686905 94424286 157373810 236060715 472121430