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2428444416 = 283191631021
BaseRepresentation
bin1001000010111111…
…0001111100000000
320021020112202110210
42100233301330000
514433140210131
61040545554120
7114115302606
oct22057617400
96236482423
102428444416
111036880262
12579345940
132c9167878
14190745876
15e32e4146
hex90bf1f00

2428444416 has 144 divisors (see below), whose sum is σ = 6851815040. Its totient is φ = 761425920.

The previous prime is 2428444379. The next prime is 2428444483. The reversal of 2428444416 is 6144448242.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2377986 + ... + 2379006.

Almost surely, 22428444416 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 2428444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425907520).

2428444416 is an abundant number, since it is smaller than the sum of its proper divisors (4423370624).

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

2428444416 is a wasteful number, since it uses less digits than its factorization.

2428444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1208 counting only the distinct ones).

The product of its digits is 196608, while the sum is 39.

The square root of 2428444416 is about 49279.2493449322. The cubic root of 2428444416 is about 1344.1344820080.

The spelling of 2428444416 in words is "two billion, four hundred twenty-eight million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 163 192 228 256 304 326 384 456 489 608 652 768 912 978 1021 1216 1304 1824 1956 2042 2432 2608 3063 3097 3648 3912 4084 4864 5216 6126 6194 7296 7824 8168 9291 10432 12252 12388 14592 15648 16336 18582 19399 20864 24504 24776 31296 32672 37164 38798 41728 49008 49552 58197 62592 65344 74328 77596 98016 99104 116394 125184 130688 148656 155192 166423 196032 198208 232788 261376 297312 310384 332846 392064 396416 465576 499269 594624 620768 665692 784128 792832 931152 998538 1189248 1241536 1331384 1862304 1997076 2378496 2483072 2662768 3162037 3724608 3994152 4966144 5325536 6324074 7449216 7988304 9486111 10651072 12648148 14898432 15976608 18972222 21302144 25296296 31953216 37944444 42604288 50592592 63906432 75888888 101185184 127812864 151777776 202370368 303555552 404740736 607111104 809481472 1214222208 2428444416