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514392396 = 2237219411123
BaseRepresentation
bin11110101010010…
…000000101001100
31022211220211201020
4132222100011030
52023141024041
6123013114140
715514156200
oct3652200514
91284824636
10514392396
112443a7691
12124328950
1382753ccb
144c460b00
153025c866
hex1ea9014c

514392396 has 144 divisors (see below), whose sum is σ = 1506879360. Its totient is φ = 135717120.

The previous prime is 514392379. The next prime is 514392421. The reversal of 514392396 is 693293415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 457491 + ... + 458613.

It is an arithmetic number, because the mean of its divisors is an integer number (10464440).

Almost surely, 2514392396 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 514392396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753439680).

514392396 is an abundant number, since it is smaller than the sum of its proper divisors (992486964).

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

514392396 is a wasteful number, since it uses less digits than its factorization.

514392396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1195 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 514392396 is about 22680.2203692998. The cubic root of 514392396 is about 801.2441038375.

It can be divided in two parts, 51439 and 2396, that added together give a palindrome (53835).

The spelling of 514392396 in words is "five hundred fourteen million, three hundred ninety-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 41 42 49 57 76 82 84 98 114 123 133 147 164 196 228 246 266 287 294 399 492 532 574 588 779 798 861 931 1123 1148 1558 1596 1722 1862 2009 2246 2337 2793 3116 3369 3444 3724 4018 4492 4674 5453 5586 6027 6738 7861 8036 9348 10906 11172 12054 13476 15722 16359 21337 21812 23583 24108 31444 32718 38171 42674 46043 47166 55027 64011 65436 76342 85348 92086 94332 110054 114513 128022 138129 149359 152684 165081 184172 220108 229026 256044 276258 298718 322301 330162 448077 458052 552516 597436 644602 660324 874817 896154 966903 1045513 1289204 1749634 1792308 1933806 2091026 2256107 2624451 3136539 3499268 3867612 4182052 4512214 5248902 6123719 6273078 6768321 9024428 10497804 12247438 12546156 13536642 18371157 24494876 27073284 36742314 42866033 73484628 85732066 128598099 171464132 257196198 514392396