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42633378 = 2310192
BaseRepresentation
bin1010001010100…
…0100010100010
32222020000000000
42202220202202
541403232003
64121440430
71025243364
oct242504242
988200000
1042633378
112207a0a7
1212340116
138aa9368
14593ad34
153b221a3
hex28a88a2

42633378 has 66 divisors (see below), whose sum is σ = 101238939. Its totient is φ = 13463172.

The previous prime is 42633323. The next prime is 42633379. The reversal of 42633378 is 87333624.

It can be written as a sum of positive squares in only one way, i.e., 21316689 + 21316689 = 4617^2 + 4617^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4617.

Its product of digits (72576) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42633379) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2243853 + ... + 2243871.

Almost surely, 242633378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42633378

42633378 is an abundant number, since it is smaller than the sum of its proper divisors (58605561).

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

42633378 is an frugal number, since it uses more digits than its factorization.

42633378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 24 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 42633378 is about 6529.4240174766. The cubic root of 42633378 is about 349.3412862225.

The spelling of 42633378 in words is "forty-two million, six hundred thirty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 722 729 1026 1083 1458 1539 2166 2187 3078 3249 4374 4617 6498 6561 9234 9747 13122 13851 19494 19683 27702 29241 39366 41553 58482 59049 83106 87723 118098 124659 175446 249318 263169 373977 526338 747954 789507 1121931 1579014 2243862 2368521 4737042 7105563 14211126 21316689 42633378