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442548416 = 263725051
BaseRepresentation
bin11010011000001…
…100000011000000
31010211201210022002
4122120030003000
51401243022131
6111525203132
713652412422
oct3230140300
91124653262
10442548416
112078971a2
121042604a8
13708bb08b
1442abc812
1528cba6cb
hex1a60c0c0

442548416 has 42 divisors (see below), whose sum is σ = 902736828. Its totient is φ = 215251200.

The previous prime is 442548397. The next prime is 442548419. The reversal of 442548416 is 614845244.

It is a self number, because there is not a number n which added to its sum of digits gives 442548416.

It is not an unprimeable number, because it can be changed into a prime (442548419) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85091 + ... + 90141.

It is an arithmetic number, because the mean of its divisors is an integer number (21493734).

Almost surely, 2442548416 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 442548416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451368414).

442548416 is an abundant number, since it is smaller than the sum of its proper divisors (460188412).

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

442548416 is an equidigital number, since it uses as much as digits as its factorization.

442548416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5090 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

The square root of 442548416 is about 21036.8347428980. The cubic root of 442548416 is about 762.0560761335.

The spelling of 442548416 in words is "four hundred forty-two million, five hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1369 2368 2738 5051 5476 10102 10952 20204 21904 40408 43808 80816 87616 161632 186887 323264 373774 747548 1495096 2990192 5980384 6914819 11960768 13829638 27659276 55318552 110637104 221274208 442548416