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535017472 = 21111217127
BaseRepresentation
bin11111111000111…
…011100000000000
31101021201200222221
4133320323200000
52043431024342
6125031140424
716154400463
oct3770734000
91337650887
10535017472
11255004600
1212b214714
1386ac5ab2
14510ad2da
1531e83a67
hex1fe3b800

535017472 has 144 divisors (see below), whose sum is σ = 1254839040. Its totient is φ = 227082240.

The previous prime is 535017463. The next prime is 535017479. The reversal of 535017472 is 274710535.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535017479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4212673 + ... + 4212799.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2535017472 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 535017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

535017472 is an abundant number, since it is smaller than the sum of its proper divisors (719821568).

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

535017472 is a wasteful number, since it uses less digits than its factorization.

535017472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 535017472 is about 23130.4446995729. Note that the first 3 decimals coincide. The cubic root of 535017472 is about 811.8129751184.

It can be divided in two parts, 5350 and 17472, that added together give a palindrome (22822).

The spelling of 535017472 in words is "five hundred thirty-five million, seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 127 128 136 176 187 242 254 256 272 352 374 484 508 512 544 704 748 968 1016 1024 1088 1397 1408 1496 1936 2032 2048 2057 2159 2176 2794 2816 2992 3872 4064 4114 4318 4352 5588 5632 5984 7744 8128 8228 8636 8704 11176 11264 11968 15367 15488 16256 16456 17272 17408 22352 22528 23749 23936 30734 30976 32512 32912 34544 34816 44704 47498 47872 61468 61952 65024 65824 69088 89408 94996 95744 122936 123904 130048 131648 138176 178816 189992 191488 245872 247808 260096 261239 263296 276352 357632 379984 382976 491744 522478 526592 552704 715264 759968 983488 1044956 1053184 1105408 1430528 1519936 1966976 2089912 2106368 2210816 2861056 3039872 3933952 4179824 4212736 4421632 6079744 7867904 8359648 12159488 15735808 16719296 24318976 31471616 33438592 48637952 66877184 133754368 267508736 535017472