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252446480 = 245111322067
BaseRepresentation
bin11110000110000…
…00011100010000
3122121000121110122
433003000130100
51004111241410
641014445412
76153521366
oct1703003420
9577017418
10252446480
1111a554860
1270663868
13403bb120
1425755636
1517268e55
hexf0c0710

252446480 has 80 divisors (see below), whose sum is σ = 689580864. Its totient is φ = 84733440.

The previous prime is 252446461. The next prime is 252446489. The reversal of 252446480 is 84644252.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 252446480.

It is not an unprimeable number, because it can be changed into a prime (252446489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407 + ... + 22473.

Almost surely, 2252446480 is an apocalyptic number.

252446480 is a gapful number since it is divisible by the number (20) 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 252446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344790432).

252446480 is an abundant number, since it is smaller than the sum of its proper divisors (437134384).

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

252446480 is a wasteful number, since it uses less digits than its factorization.

252446480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22104 (or 22098 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 252446480 is about 15888.5644411319. The cubic root of 252446480 is about 632.0087725108.

The spelling of 252446480 in words is "two hundred fifty-two million, four hundred forty-six thousand, four hundred eighty".