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42990900 = 22352473049
BaseRepresentation
bin1010001111111…
…1110100110100
32222220011102120
42203333310310
542001202100
64133235540
71031262621
oct243776464
988804376
1042990900
11222a3777
1212492bb0
138ba3004
1459d1348
153b930a0
hex28ffd34

42990900 has 72 divisors (see below), whose sum is σ = 127075200. Its totient is φ = 11216640.

The previous prime is 42990889. The next prime is 42990911. The reversal of 42990900 is 909924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42990889) and next prime (42990911).

It is a congruent number.

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, 12576 + ... + 15624.

Almost surely, 242990900 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 42990900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63537600).

42990900 is an abundant number, since it is smaller than the sum of its proper divisors (84084300).

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

42990900 is a wasteful number, since it uses less digits than its factorization.

42990900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 42990900 is about 6556.7446190926. The cubic root of 42990900 is about 350.3150904018.

The spelling of 42990900 in words is "forty-two million, nine hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3049 3525 4700 6098 7050 9147 12196 14100 15245 18294 30490 36588 45735 60980 76225 91470 143303 152450 182940 228675 286606 304900 429909 457350 573212 716515 859818 914700 1433030 1719636 2149545 2866060 3582575 4299090 7165150 8598180 10747725 14330300 21495450 42990900