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424219392 = 28321011823
BaseRepresentation
bin11001010010010…
…001001100000000
31002120020120121100
4121102101030000
51332100010032
6110032254400
713340543142
oct3122211400
91076216540
10424219392
111a8508343
12ba0a1400
1369b713bc
14404aac92
152739997c
hex19491300

424219392 has 108 divisors (see below), whose sum is σ = 1235916864. Its totient is φ = 139929600.

The previous prime is 424219357. The next prime is 424219409. The reversal of 424219392 is 293912424.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231793 + ... + 233615.

Almost surely, 2424219392 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 424219392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617958432).

424219392 is an abundant number, since it is smaller than the sum of its proper divisors (811697472).

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

424219392 is a wasteful number, since it uses less digits than its factorization.

424219392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1929 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 424219392 is about 20596.5869017175. The cubic root of 424219392 is about 751.3867038232.

The spelling of 424219392 in words is "four hundred twenty-four million, two hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 576 606 768 808 909 1152 1212 1616 1818 1823 2304 2424 3232 3636 3646 4848 5469 6464 7272 7292 9696 10938 12928 14544 14584 16407 19392 21876 25856 29088 29168 32814 38784 43752 58176 58336 65628 77568 87504 116352 116672 131256 175008 184123 232704 233344 262512 350016 368246 466688 525024 552369 700032 736492 1050048 1104738 1400064 1472984 1657107 2100096 2209476 2945968 3314214 4200192 4418952 5891936 6628428 8837904 11783872 13256856 17675808 23567744 26513712 35351616 47135488 53027424 70703232 106054848 141406464 212109696 424219392