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429155240 = 235711371103
BaseRepresentation
bin11001100101000…
…110001110101000
31002220112100022112
4121211012032220
51334330431430
6110330141452
713430521313
oct3145061650
91086470275
10429155240
11200279758
12bb881888
136ababc17
1440dd397a
1527a22195
hex199463a8

429155240 has 64 divisors (see below), whose sum is σ = 987240960. Its totient is φ = 167856640.

The previous prime is 429155231. The next prime is 429155263. The reversal of 429155240 is 42551924.

It is a junction number, because it is equal to n+sod(n) for n = 429155197 and 429155206.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 388529 + ... + 389631.

It is an arithmetic number, because the mean of its divisors is an integer number (15425640).

Almost surely, 2429155240 is an apocalyptic number.

429155240 is a gapful number since it is divisible by the number (40) 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 429155240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493620480).

429155240 is an abundant number, since it is smaller than the sum of its proper divisors (558085720).

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

429155240 is a wasteful number, since it uses less digits than its factorization.

429155240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 429155240 is about 20716.0623671585. The cubic root of 429155240 is about 754.2896348975.

The spelling of 429155240 in words is "four hundred twenty-nine million, one hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 137 142 274 284 355 548 568 685 710 1096 1103 1370 1420 2206 2740 2840 4412 5480 5515 8824 9727 11030 19454 22060 38908 44120 48635 77816 78313 97270 151111 156626 194540 302222 313252 389080 391565 604444 626504 755555 783130 1208888 1511110 1566260 3022220 3132520 6044440 10728881 21457762 42915524 53644405 85831048 107288810 214577620 429155240