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469987968 = 2734726041
BaseRepresentation
bin11100000000110…
…111001010000000
31012202100212021210
4130000313022000
51430304103333
6114345250120
714434555212
oct3400671200
91182325253
10469987968
11221328a0a
12111493940
13764a77b8
14465c25b2
152b3daa63
hex1c037280

469987968 has 64 divisors (see below), whose sum is σ = 1275016320. Its totient is φ = 153323520.

The previous prime is 469987963. The next prime is 469988017. The reversal of 469987968 is 869789964.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 469987899 and 469987908.

It is not an unprimeable number, because it can be changed into a prime (469987963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5028 + ... + 31068.

It is an arithmetic number, because the mean of its divisors is an integer number (19922130).

Almost surely, 2469987968 is an apocalyptic number.

469987968 is a gapful number since it is divisible by the number (48) 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 469987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637508160).

469987968 is an abundant number, since it is smaller than the sum of its proper divisors (805028352).

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

469987968 is a wasteful number, since it uses less digits than its factorization.

469987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26105 (or 26093 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The square root of 469987968 is about 21679.2058895154. The cubic root of 469987968 is about 777.4913750280.

The spelling of 469987968 in words is "four hundred sixty-nine million, nine hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 26041 52082 78123 104164 156246 208328 312492 416656 624984 833312 1223927 1249968 1666624 2447854 2499936 3333248 3671781 4895708 4999872 7343562 9791416 9999744 14687124 19582832 29374248 39165664 58748496 78331328 117496992 156662656 234993984 469987968