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425212416 = 293410253
BaseRepresentation
bin11001010110000…
…011101000000000
31002122010000210000
4121112003220000
51332323244131
6110105440000
713352150226
oct3126035000
91078100700
10425212416
111a9026422
12ba4a0000
136a12b3a5
1440688b16
15274e3ce6
hex19583a00

425212416 has 100 divisors (see below), whose sum is σ = 1269270882. Its totient is φ = 141723648.

The previous prime is 425212393. The next prime is 425212421. The reversal of 425212416 is 614212524.

It can be written as a sum of positive squares in only one way, i.e., 412252416 + 12960000 = 20304^2 + 3600^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 425212416.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36346 + ... + 46598.

Almost surely, 2425212416 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 425212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634635441).

425212416 is an abundant number, since it is smaller than the sum of its proper divisors (844058466).

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

425212416 is an equidigital number, since it uses as much as digits as its factorization.

425212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10258 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 425212416 is about 20620.6793292559. The cubic root of 425212416 is about 751.9725355897.

The spelling of 425212416 in words is "four hundred twenty-five million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10253 10368 13824 20506 20736 30759 41012 41472 61518 82024 92277 123036 164048 184554 246072 276831 328096 369108 492144 553662 656192 738216 830493 984288 1107324 1312384 1476432 1660986 1968576 2214648 2624768 2952864 3321972 3937152 4429296 5249536 5905728 6643944 7874304 8858592 11811456 13287888 15748608 17717184 23622912 26575776 35434368 47245824 53151552 70868736 106303104 141737472 212606208 425212416