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420706848 = 2539745179
BaseRepresentation
bin11001000100110…
…111101000100000
31002022122010022010
4121010313220200
51330200104343
6105425112520
713265643402
oct3104675040
91068563263
10420706848
111a6529311
12b8a88740
1369211683
143dc34b72
1526e03d33
hex19137a20

420706848 has 48 divisors (see below), whose sum is σ = 1115765280. Its totient is φ = 138786816.

The previous prime is 420706841. The next prime is 420706849. The reversal of 420706848 is 848607024.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (420706841) 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, 13278 + ... + 31901.

It is an arithmetic number, because the mean of its divisors is an integer number (23245110).

Almost surely, 2420706848 is an apocalyptic number.

420706848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420706848 is an abundant number, since it is smaller than the sum of its proper divisors (695058432).

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

420706848 is a wasteful number, since it uses less digits than its factorization.

420706848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45289 (or 45281 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 420706848 is about 20511.1396075401. The cubic root of 420706848 is about 749.3071218681.

The spelling of 420706848 in words is "four hundred twenty million, seven hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 45179 90358 135537 180716 271074 361432 542148 722864 1084296 1445728 2168592 4337184 4382363 8764726 13147089 17529452 26294178 35058904 52588356 70117808 105176712 140235616 210353424 420706848