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295014042 = 233293159103
BaseRepresentation
bin10001100101011…
…000111010011010
3202120010021012000
4101211120322122
51101010422132
645135101430
710211402151
oct2145307232
9676107160
10295014042
11141589464
1282971876
134917352b
142b276598
151ad7687c
hex11958e9a

295014042 has 128 divisors (see below), whose sum is σ = 718848000. Its totient is φ = 89449920.

The previous prime is 295014029. The next prime is 295014053. The reversal of 295014042 is 240410592.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 295013997 and 295014015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2864163 + ... + 2864265.

It is an arithmetic number, because the mean of its divisors is an integer number (5616000).

Almost surely, 2295014042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 295014042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359424000).

295014042 is an abundant number, since it is smaller than the sum of its proper divisors (423833958).

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

295014042 is a wasteful number, since it uses less digits than its factorization.

295014042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 295014042 is about 17175.9728108774. The cubic root of 295014042 is about 665.7035853259.

The spelling of 295014042 in words is "two hundred ninety-five million, fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 59 62 87 93 103 118 174 177 186 206 261 279 309 354 522 531 558 618 783 837 899 927 1062 1566 1593 1674 1711 1798 1829 1854 2697 2781 2987 3186 3193 3422 3658 5133 5394 5487 5562 5974 6077 6386 8091 8961 9579 10266 10974 12154 15399 16182 16461 17922 18231 19158 24273 26883 28737 30798 32922 36462 46197 48546 49383 53041 53766 54693 57474 80649 86211 92394 92597 98766 106082 109386 159123 161298 164079 172422 176233 185194 188387 277791 318246 328158 352466 376774 477369 528699 555582 565161 833373 954738 1057398 1130322 1432107 1586097 1666746 1695483 2500119 2864214 3172194 3390966 4758291 5000238 5086449 5463223 9516582 10172898 10926446 16389669 32779338 49169007 98338014 147507021 295014042