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245506976 = 25111324127
BaseRepresentation
bin11101010001000…
…10001110100000
3122002222001020222
432220202032200
51000322210401
640210022212
76040526531
oct1650421640
9562861228
10245506976
11116645030
126a277968
133bb2b600
142486a688
1516847c1b
hexea223a0

245506976 has 72 divisors (see below), whose sum is σ = 571100544. Its totient is φ = 102984960.

The previous prime is 245506973. The next prime is 245506997. The reversal of 245506976 is 679605542.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (245506973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57425 + ... + 61551.

It is an arithmetic number, because the mean of its divisors is an integer number (7931952).

Almost surely, 2245506976 is an apocalyptic number.

245506976 is a gapful number since it is divisible by the number (26) 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 245506976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285550272).

245506976 is an abundant number, since it is smaller than the sum of its proper divisors (325593568).

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

245506976 is a wasteful number, since it uses less digits than its factorization.

245506976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 245506976 is about 15668.6622275164. The cubic root of 245506976 is about 626.1637844774.

The spelling of 245506976 in words is "two hundred forty-five million, five hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 572 676 1144 1352 1859 2288 2704 3718 4127 4576 5408 7436 8254 14872 16508 29744 33016 45397 53651 59488 66032 90794 107302 132064 181588 214604 363176 429208 590161 697463 726352 858416 1180322 1394926 1452704 1716832 2360644 2789852 4721288 5579704 7672093 9442576 11159408 15344186 18885152 22318816 30688372 61376744 122753488 245506976