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742543632 = 243313113121
BaseRepresentation
bin101100010000100…
…101000100010000
31220202020010101000
4230100211010100
53010042344012
6201403142000
724254342145
oct5420450420
91822203330
10742543632
11351168026
12188814900
13baab693c
14708903cc
15452c7ddc
hex2c425110

742543632 has 80 divisors (see below), whose sum is σ = 2147808960. Its totient is φ = 245606400.

The previous prime is 742543601. The next prime is 742543649. The reversal of 742543632 is 236345247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50032 + ... + 63152.

It is an arithmetic number, because the mean of its divisors is an integer number (26847612).

Almost surely, 2742543632 is an apocalyptic number.

742543632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742543632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073904480).

742543632 is an abundant number, since it is smaller than the sum of its proper divisors (1405265328).

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

742543632 is a wasteful number, since it uses less digits than its factorization.

742543632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13269 (or 13257 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 742543632 is about 27249.6537959659. The cubic root of 742543632 is about 905.5393474198.

Adding to 742543632 its reverse (236345247), we get a palindrome (978888879).

The spelling of 742543632 in words is "seven hundred forty-two million, five hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 9432 13121 14148 18864 26242 28296 39363 52484 56592 78726 104968 118089 157452 209936 236178 314904 354267 472356 629808 708534 944712 1417068 1718851 1889424 2834136 3437702 5156553 5668272 6875404 10313106 13750808 15469659 20626212 27501616 30939318 41252424 46408977 61878636 82504848 92817954 123757272 185635908 247514544 371271816 742543632