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468215982 = 2321337411319
BaseRepresentation
bin11011111010000…
…110100010101110
31012122000211120200
4123322012202232
51424330402412
6114243254330
714413525113
oct3372064256
91178024520
10468215982
11220328663
1211097a3a6
13760070a0
144628090a
152b18a9dc
hex1be868ae

468215982 has 96 divisors (see below), whose sum is σ = 1150269120. Its totient is φ = 136650240.

The previous prime is 468215977. The next prime is 468215983. The reversal of 468215982 is 289512864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468215983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354319 + ... + 355637.

It is an arithmetic number, because the mean of its divisors is an integer number (11981970).

Almost surely, 2468215982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468215982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575134560).

468215982 is an abundant number, since it is smaller than the sum of its proper divisors (682053138).

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

468215982 is a wasteful number, since it uses less digits than its factorization.

468215982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1415 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 468215982 is about 21638.2989627189. The cubic root of 468215982 is about 776.5130245139.

The spelling of 468215982 in words is "four hundred sixty-eight million, two hundred fifteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 41 74 78 82 111 117 123 222 234 246 333 369 481 533 666 738 962 1066 1319 1443 1517 1599 2638 2886 3034 3198 3957 4329 4551 4797 7914 8658 9102 9594 11871 13653 17147 19721 23742 27306 34294 39442 48803 51441 54079 59163 97606 102882 108158 118326 146409 154323 162237 177489 292818 308646 324474 354978 439227 486711 634439 703027 878454 973422 1268878 1406054 1903317 2000923 2109081 3806634 4001846 4218162 5709951 6002769 6327243 11419902 12005538 12654486 18008307 26011999 36016614 52023998 78035997 156071994 234107991 468215982