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429127740 = 22335898929
BaseRepresentation
bin11001100100111…
…111100000111100
31002220110221121000
4121210333200330
51334324041430
6110325410300
713430345166
oct3144774074
91086427530
10429127740
11200260028
12bb869990
136ab9c552
1440dc7936
1527a18e60
hex1993f83c

429127740 has 96 divisors (see below), whose sum is σ = 1350216000. Its totient is φ = 113135616.

The previous prime is 429127729. The next prime is 429127747. The reversal of 429127740 is 47721924.

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

It is a junction number, because it is equal to n+sod(n) for n = 429127695 and 429127704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429127747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43596 + ... + 52524.

It is an arithmetic number, because the mean of its divisors is an integer number (14064750).

Almost surely, 2429127740 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 429127740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675108000).

429127740 is an abundant number, since it is smaller than the sum of its proper divisors (921088260).

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

429127740 is a wasteful number, since it uses less digits than its factorization.

429127740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9036 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 429127740 is about 20715.3986203500. The cubic root of 429127740 is about 754.2735230837.

The spelling of 429127740 in words is "four hundred twenty-nine million, one hundred twenty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5340 8010 8929 9612 12015 16020 17858 24030 26787 35716 44645 48060 53574 80361 89290 107148 133935 160722 178580 241083 267870 321444 401805 482166 535740 794681 803610 964332 1205415 1589362 1607220 2384043 2410830 3178724 3973405 4768086 4821660 7152129 7946810 9536172 11920215 14304258 15893620 21456387 23840430 28608516 35760645 42912774 47680860 71521290 85825548 107281935 143042580 214563870 429127740