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42969900 = 22352433331
BaseRepresentation
bin1010001111101…
…0101100101100
32222212002121210
42203322230230
542000014100
64132554420
71031144451
oct243725454
988762553
1042969900
1122289a16
1212482a10
138b9659c
1459c7828
153b8bc50
hex28fab2c

42969900 has 72 divisors (see below), whose sum is σ = 127255744. Its totient is φ = 11188800.

The previous prime is 42969893. The next prime is 42969929. The reversal of 42969900 is 996924.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11235 + ... + 14565.

Almost surely, 242969900 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 42969900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63627872).

42969900 is an abundant number, since it is smaller than the sum of its proper divisors (84285844).

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

42969900 is a wasteful number, since it uses less digits than its factorization.

42969900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 42969900 is about 6555.1430190347. The cubic root of 42969900 is about 350.2580410025.

It can be divided in two parts, 4296 and 9900, that added together give a triangular number (14196 = T168).

The spelling of 42969900 in words is "forty-two million, nine hundred sixty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 3331 4300 6450 6662 9993 12900 13324 16655 19986 33310 39972 49965 66620 83275 99930 143233 166550 199860 249825 286466 333100 429699 499650 572932 716165 859398 999300 1432330 1718796 2148495 2864660 3580825 4296990 7161650 8593980 10742475 14323300 21484950 42969900