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429894036 = 22321113113739
BaseRepresentation
bin11001100111111…
…010100110010100
31002221220212202100
4121213322212110
51340023102121
6110354042100
713440016245
oct3147724624
91087825670
10429894036
11200733830
12bbb79330
136b0aa290
1441146ccc
1527b1b026
hex199fa994

429894036 has 144 divisors (see below), whose sum is σ = 1289695680. Its totient is φ = 119024640.

The previous prime is 429894029. The next prime is 429894053. The reversal of 429894036 is 630498924.

It is a junction number, because it is equal to n+sod(n) for n = 429893982 and 429894000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581355 + ... + 582093.

It is an arithmetic number, because the mean of its divisors is an integer number (8956220).

Almost surely, 2429894036 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 429894036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644847840).

429894036 is an abundant number, since it is smaller than the sum of its proper divisors (859801644).

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

429894036 is a wasteful number, since it uses less digits than its factorization.

429894036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 429894036 is about 20733.8861769809. The cubic root of 429894036 is about 754.7222263691.

The spelling of 429894036 in words is "four hundred twenty-nine million, eight hundred ninety-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 113 117 132 143 156 198 226 234 286 339 396 429 452 468 572 678 739 858 1017 1243 1287 1356 1469 1478 1716 2034 2217 2486 2574 2938 2956 3729 4068 4407 4434 4972 5148 5876 6651 7458 8129 8814 8868 9607 11187 13221 13302 14916 16159 16258 17628 19214 22374 24387 26442 26604 28821 32318 32516 38428 44748 48477 48774 52884 57642 64636 73161 83507 86463 96954 97548 105677 115284 145431 146322 167014 172926 193908 211354 250521 290862 292644 317031 334028 345852 422708 501042 581724 634062 751563 918577 951093 1002084 1085591 1268124 1503126 1837154 1902186 2171182 2755731 3006252 3256773 3674308 3804372 4342364 5511462 6513546 8267193 9770319 11022924 11941501 13027092 16534386 19540638 23883002 33068772 35824503 39081276 47766004 71649006 107473509 143298012 214947018 429894036