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468497484 = 2232713831723
BaseRepresentation
bin11011111011001…
…011010001001100
31012122120010201200
4123323023101030
51424413404414
6114253305500
714416106610
oct3373132114
91178503650
10468497484
11220500104
12110a95290
13760a5260
1446315340
152b1e4109
hex1becb44c

468497484 has 144 divisors (see below), whose sum is σ = 1475964672. Its totient is φ = 122000256.

The previous prime is 468497479. The next prime is 468497501. The reversal of 468497484 is 484794864.

It is a self number, because there is not a number n which added to its sum of digits gives 468497484.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271047 + ... + 272769.

Almost surely, 2468497484 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 468497484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737982336).

468497484 is an abundant number, since it is smaller than the sum of its proper divisors (1007467188).

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

468497484 is a wasteful number, since it uses less digits than its factorization.

468497484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1831 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 468497484 is about 21644.8027018035. The cubic root of 468497484 is about 776.6686123803.

The spelling of 468497484 in words is "four hundred sixty-eight million, four hundred ninety-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 83 84 91 117 126 156 166 182 234 249 252 273 332 364 468 498 546 581 747 819 996 1079 1092 1162 1494 1638 1723 1743 2158 2324 2988 3237 3276 3446 3486 4316 5169 5229 6474 6892 6972 7553 9711 10338 10458 12061 12948 15106 15507 19422 20676 20916 22399 22659 24122 30212 31014 36183 38844 44798 45318 48244 62028 67197 67977 72366 89596 90636 108549 134394 135954 143009 144732 156793 201591 217098 268788 271908 286018 313586 403182 429027 434196 470379 572036 627172 806364 858054 940758 1001063 1287081 1411137 1716108 1859117 1881516 2002126 2574162 2822274 3003189 3718234 4004252 5148324 5577351 5644548 6006378 7436468 9009567 11154702 12012756 13013819 16732053 18019134 22309404 26027638 33464106 36038268 39041457 52055276 66928212 78082914 117124371 156165828 234248742 468497484