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4242043000 = 2353131512161
BaseRepresentation
bin1111110011011000…
…0111000001111000
3101221122011010000201
43330312013001320
532141430334000
61540533411544
7210056525206
oct37466070170
911848133021
104242043000
111887582768
129a4799bb4
13527b09420
142c355c076
1519c63696a
hexfcd87078

4242043000 has 128 divisors (see below), whose sum is σ = 10765722240. Its totient is φ = 1555200000.

The previous prime is 4242042979. The next prime is 4242043021. The reversal of 4242043000 is 3402424.

It is an interprime number because it is at equal distance from previous prime (4242042979) and next prime (4242043021).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1961920 + ... + 1964080.

It is an arithmetic number, because the mean of its divisors is an integer number (84107205).

Almost surely, 24242043000 is an apocalyptic number.

4242043000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382861120).

4242043000 is an abundant number, since it is smaller than the sum of its proper divisors (6523679240).

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

4242043000 is a wasteful number, since it uses less digits than its factorization.

4242043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4242043000 is about 65130.9680566779. The cubic root of 4242043000 is about 1618.7943831840.

Adding to 4242043000 its reverse (3402424), we get a palindrome (4245445424).

The spelling of 4242043000 in words is "four billion, two hundred forty-two million, forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 151 200 250 260 302 325 500 520 604 650 755 1000 1208 1300 1510 1625 1963 2161 2600 3020 3250 3775 3926 4322 6040 6500 7550 7852 8644 9815 10805 13000 15100 15704 17288 18875 19630 21610 28093 30200 37750 39260 43220 49075 54025 56186 75500 78520 86440 98150 108050 112372 140465 151000 196300 216100 224744 245375 270125 280930 326311 392600 432200 490750 540250 561860 652622 702325 981500 1080500 1123720 1305244 1404650 1631555 1963000 2161000 2610488 2809300 3263110 3511625 4242043 5618600 6526220 7023250 8157775 8484086 13052440 14046500 16315550 16968172 21210215 28093000 32631100 33936344 40788875 42420430 65262200 81577750 84840860 106051075 163155500 169681720 212102150 326311000 424204300 530255375 848408600 1060510750 2121021500 4242043000