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429449448 = 233313791523
BaseRepresentation
bin11001100110001…
…110000011101000
31002221002021220010
4121212032003220
51334414340243
6110340331520
713433155131
oct3146160350
91087067803
10429449448
1120045a7aa
12bb9a3ba0
136ac82acc
144106cc88
1527a7e433
hex1998e0e8

429449448 has 64 divisors (see below), whose sum is σ = 1111910400. Its totient is φ = 138075840.

The previous prime is 429449411. The next prime is 429449453. The reversal of 429449448 is 844944924.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 429449397 and 429449406.

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, 281215 + ... + 282737.

It is an arithmetic number, because the mean of its divisors is an integer number (17373600).

Almost surely, 2429449448 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 429449448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555955200).

429449448 is an abundant number, since it is smaller than the sum of its proper divisors (682460952).

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

429449448 is a wasteful number, since it uses less digits than its factorization.

429449448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 429449448 is about 20723.1621139246. The cubic root of 429449448 is about 754.4619636428.

The spelling of 429449448 in words is "four hundred twenty-nine million, four hundred forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 379 744 758 1137 1516 1523 2274 3032 3046 4548 4569 6092 9096 9138 11749 12184 18276 23498 35247 36552 46996 47213 70494 93992 94426 140988 141639 188852 281976 283278 377704 566556 577217 1133112 1154434 1731651 2308868 3463302 4617736 6926604 13853208 17893727 35787454 53681181 71574908 107362362 143149816 214724724 429449448