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419135532 = 2232389113151
BaseRepresentation
bin11000111110111…
…000000000101100
31002012200021212020
4120332320000230
51324244314112
6105331310140
713246410324
oct3076700054
91065607766
10419135532
111a5655802
12b844b350
1368ab13ba
143d946284
1526be348c
hex18fb802c

419135532 has 96 divisors (see below), whose sum is σ = 1047997440. Its totient is φ = 130099200.

The previous prime is 419135503. The next prime is 419135537. The reversal of 419135532 is 235531914.

It is a junction number, because it is equal to n+sod(n) for n = 419135493 and 419135502.

It is not an unprimeable number, because it can be changed into a prime (419135537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775657 + ... + 2775807.

It is an arithmetic number, because the mean of its divisors is an integer number (10916640).

Almost surely, 2419135532 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 419135532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523998720).

419135532 is an abundant number, since it is smaller than the sum of its proper divisors (628861908).

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

419135532 is a wasteful number, since it uses less digits than its factorization.

419135532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 419135532 is about 20472.7998085264. The cubic root of 419135532 is about 748.3730849707.

The spelling of 419135532 in words is "four hundred nineteen million, one hundred thirty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 89 92 113 138 151 178 226 267 276 302 339 356 452 453 534 604 678 906 1068 1356 1812 2047 2599 3473 4094 5198 6141 6946 7797 8188 10057 10396 10419 12282 13439 13892 15594 17063 20114 20838 24564 26878 30171 31188 34126 40228 40317 41676 51189 53756 60342 68252 80634 102378 120684 161268 204756 231311 309097 392449 462622 618194 693933 784898 925244 927291 1177347 1236388 1387866 1518607 1569796 1854582 2354694 2775732 3037214 3709164 4555821 4709388 6074428 9111642 18223284 34927961 69855922 104783883 139711844 209567766 419135532