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242600428 = 227291092741
BaseRepresentation
bin11100111010111…
…00100111101100
3121220111101020001
432131130213230
5444101203203
640023434044
76004032610
oct1635344754
9556441201
10242600428
11114a3a324
12692b5924
133b351665
1424311340
151647191d
hexe75c9ec

242600428 has 48 divisors (see below), whose sum is σ = 506721600. Its totient is φ = 99429120.

The previous prime is 242600419. The next prime is 242600437. The reversal of 242600428 is 824006242.

It is an interprime number because it is at equal distance from previous prime (242600419) and next prime (242600437).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 242600396 and 242600405.

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 15 ways as a sum of consecutive naturals, for example, 87138 + ... + 89878.

It is an arithmetic number, because the mean of its divisors is an integer number (10556700).

Almost surely, 2242600428 is an apocalyptic number.

242600428 is a gapful number since it is divisible by the number (28) 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 242600428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253360800).

242600428 is an abundant number, since it is smaller than the sum of its proper divisors (264121172).

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

242600428 is a wasteful number, since it uses less digits than its factorization.

242600428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 242600428 is about 15575.6357173632. The cubic root of 242600428 is about 623.6829250112.

The spelling of 242600428 in words is "two hundred forty-two million, six hundred thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 29 58 109 116 203 218 406 436 763 812 1526 2741 3052 3161 5482 6322 10964 12644 19187 22127 38374 44254 76748 79489 88508 158978 298769 317956 556423 597538 1112846 1195076 2091383 2225692 4182766 8365532 8664301 17328602 34657204 60650107 121300214 242600428