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468241312 = 25711307619
BaseRepresentation
bin11011111010001…
…100101110100000
31012122002010022211
4123322030232200
51424332210222
6114244011504
714413662010
oct3372145640
91178063284
10468241312
112203456a0
12110990b94
1376015786
1446289c40
152b193277
hex1be8cba0

468241312 has 96 divisors (see below), whose sum is σ = 1154926080. Its totient is φ = 181543680.

The previous prime is 468241303. The next prime is 468241321. The reversal of 468241312 is 213142864.

It is an interprime number because it is at equal distance from previous prime (468241303) and next prime (468241321).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756139 + ... + 756757.

It is an arithmetic number, because the mean of its divisors is an integer number (12030480).

Almost surely, 2468241312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577463040).

468241312 is an abundant number, since it is smaller than the sum of its proper divisors (686684768).

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

468241312 is a wasteful number, since it uses less digits than its factorization.

468241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 468241312 is about 21638.8842595916. The cubic root of 468241312 is about 776.5270271117.

The spelling of 468241312 in words is "four hundred sixty-eight million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 307 308 352 614 616 619 1228 1232 1238 2149 2456 2464 2476 3377 4298 4333 4912 4952 6754 6809 8596 8666 9824 9904 13508 13618 17192 17332 19808 23639 27016 27236 34384 34664 47278 47663 54032 54472 68768 69328 94556 95326 108064 108944 138656 189112 190033 190652 217888 378224 380066 381304 756448 760132 762608 1330231 1520264 1525216 2090363 2660462 3040528 4180726 5320924 6081056 8361452 10641848 14632541 16722904 21283696 29265082 33445808 42567392 58530164 66891616 117060328 234120656 468241312