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42838650 = 23252234139
BaseRepresentation
bin1010001101101…
…0101001111010
32222121102120200
42203122221322
541431314100
64130103030
71030060011
oct243325172
988542520
1042838650
11221aa348
121241aa76
138b4b91a
145991a78
153b62e00
hex28daa7a

42838650 has 72 divisors (see below), whose sum is σ = 120126240. Its totient is φ = 10924320.

The previous prime is 42838643. The next prime is 42838669. The reversal of 42838650 is 5683824.

42838650 = T61 + T62 + ... + T635.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8281 + ... + 12419.

It is an arithmetic number, because the mean of its divisors is an integer number (1668420).

Almost surely, 242838650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42838650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60063120).

42838650 is an abundant number, since it is smaller than the sum of its proper divisors (77287590).

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

42838650 is a wasteful number, since it uses less digits than its factorization.

42838650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42838650 is about 6545.1241393880. The cubic root of 42838650 is about 349.9010604694.

The spelling of 42838650 in words is "forty-two million, eight hundred thirty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 4139 5175 8278 10350 12417 20695 24834 37251 41390 62085 74502 95197 103475 124170 186255 190394 206950 285591 310425 372510 475985 571182 620850 856773 931275 951970 1427955 1713546 1862550 2379925 2855910 4283865 4759850 7139775 8567730 14279550 21419325 42838650