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425514384 = 24361912
BaseRepresentation
bin11001010111001…
…101010110010000
31002122200101000000
4121113031112100
51332412430014
6110120130000
713354545501
oct3127152620
91078611000
10425514384
111a9212289
12ba606900
136a205979
1440726ba8
1527553509
hex195cd590

425514384 has 105 divisors (see below), whose sum is σ = 1242591259. Its totient is φ = 141095520.

The previous prime is 425514377. The next prime is 425514407. The reversal of 425514384 is 483415524.

It is a happy number.

The square root of 425514384 is 20628.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2227729 + ... + 2227919.

Almost surely, 2425514384 is an apocalyptic number.

425514384 is the 20628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425514384

425514384 is an abundant number, since it is smaller than the sum of its proper divisors (817076875).

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

425514384 is an frugal number, since it uses more digits than its factorization.

425514384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 196 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The cubic root of 425514384 is about 752.1504999067.

Multiplying 425514384 by its sum of digits (36), we get a square (15318517824 = 1237682).

425514384 divided by its sum of digits (36) gives a square (11819844 = 34382).

The spelling of 425514384 in words is "four hundred twenty-five million, five hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 191 216 243 324 382 432 486 573 648 729 764 972 1146 1296 1458 1528 1719 1944 2292 2916 3056 3438 3888 4584 5157 5832 6876 9168 10314 11664 13752 15471 20628 27504 30942 36481 41256 46413 61884 72962 82512 92826 109443 123768 139239 145924 185652 218886 247536 278478 291848 328329 371304 437772 556956 583696 656658 742608 875544 984987 1113912 1313316 1751088 1969974 2227824 2626632 2954961 3939948 5253264 5909922 7879896 8864883 11819844 15759792 17729766 23639688 26594649 35459532 47279376 53189298 70919064 106378596 141838128 212757192 425514384