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424861152 = 25323317607
BaseRepresentation
bin11001010100101…
…101110111100000
31002121110011221020
4121110231313200
51332231024102
6110054125440
713346155152
oct3124556740
91077404836
10424861152
111a8906521
12ba350880
136a037541
14405d6ad2
1527474bbc
hex1952dde0

424861152 has 96 divisors (see below), whose sum is σ = 1169344512. Its totient is φ = 134813184.

The previous prime is 424861141. The next prime is 424861201. The reversal of 424861152 is 251168424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (15360) is a multiple of the sum of its prime factors (960).

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, 699633 + ... + 700239.

It is an arithmetic number, because the mean of its divisors is an integer number (12180672).

Almost surely, 2424861152 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 424861152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584672256).

424861152 is an abundant number, since it is smaller than the sum of its proper divisors (744483360).

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

424861152 is a wasteful number, since it uses less digits than its factorization.

424861152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 424861152 is about 20612.1602943505. The cubic root of 424861152 is about 751.7654127189.

The spelling of 424861152 in words is "four hundred twenty-four million, eight hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 317 368 552 607 634 736 951 1104 1214 1268 1821 1902 2208 2428 2536 3642 3804 4856 5072 7284 7291 7608 9712 10144 13961 14568 14582 15216 19424 21873 27922 29136 29164 30432 41883 43746 55844 58272 58328 83766 87492 111688 116656 167532 174984 192419 223376 233312 335064 349968 384838 446752 577257 670128 699936 769676 1154514 1340256 1539352 2309028 3078704 4425637 4618056 6157408 8851274 9236112 13276911 17702548 18472224 26553822 35405096 53107644 70810192 106215288 141620384 212430576 424861152