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429998880 = 25351947149
BaseRepresentation
bin11001101000010…
…100001100100000
31002222010012120110
4121220110030200
51340034431010
6110400211320
713440634023
oct3150241440
91088105513
10429998880
112007a5583
12100009b40
136b115c0c
14411731ba
1527b3c120
hex19a14320

429998880 has 96 divisors (see below), whose sum is σ = 1425816000. Its totient is φ = 108628992.

The previous prime is 429998879. The next prime is 429998887. The reversal of 429998880 is 88899924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 429998880.

It is not an unprimeable number, because it can be changed into a prime (429998887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14455 + ... + 32694.

It is an arithmetic number, because the mean of its divisors is an integer number (14852250).

Almost surely, 2429998880 is an apocalyptic number.

429998880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429998880 is an abundant number, since it is smaller than the sum of its proper divisors (995817120).

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

429998880 is a wasteful number, since it uses less digits than its factorization.

429998880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47186 (or 47178 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 429998880 is about 20736.4143477121. The cubic root of 429998880 is about 754.7835761116.

The spelling of 429998880 in words is "four hundred twenty-nine million, nine hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 47149 94298 141447 188596 235745 282894 377192 471490 565788 707235 754384 895831 942980 1131576 1414470 1508768 1791662 1885960 2263152 2687493 2828940 3583324 3771920 4479155 4526304 5374986 5657880 7166648 7543840 8958310 10749972 11315760 13437465 14333296 17916620 21499944 22631520 26874930 28666592 35833240 42999888 53749860 71666480 85999776 107499720 143332960 214999440 429998880