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4942015280 = 245295234073
BaseRepresentation
bin1001001101001000…
…10010101100110000
3110202102021101110222
410212210102230300
540110123442110
62134220312212
7233316302546
oct44644225460
913672241428
104942015280
112106703254
12b5b0a2668
13609b38cc7
1434c4c9d96
151ddd00c55
hex126912b30

4942015280 has 80 divisors (see below), whose sum is σ = 11912050080. Its totient is φ = 1904523264.

The previous prime is 4942015271. The next prime is 4942015307. The reversal of 4942015280 is 825102494.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4942015280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211324 + ... + 1215396.

It is an arithmetic number, because the mean of its divisors is an integer number (148900626).

Almost surely, 24942015280 is an apocalyptic number.

4942015280 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 4942015280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956025040).

4942015280 is an abundant number, since it is smaller than the sum of its proper divisors (6970034800).

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

4942015280 is a wasteful number, since it uses less digits than its factorization.

4942015280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 4942015280 is about 70299.4685612914. The cubic root of 4942015280 is about 1703.3400630944.

The spelling of 4942015280 in words is "four billion, nine hundred forty-two million, fifteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 523 580 1046 1160 2092 2320 2615 4073 4184 5230 8146 8368 10460 15167 16292 20365 20920 30334 32584 40730 41840 60668 65168 75835 81460 118117 121336 151670 162920 236234 242672 303340 325840 472468 590585 606680 944936 1181170 1213360 1889872 2130179 2362340 4260358 4724680 8520716 9449360 10650895 17041432 21301790 34082864 42603580 61775191 85207160 123550382 170414320 247100764 308875955 494201528 617751910 988403056 1235503820 2471007640 4942015280