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425749872 = 243192320297
BaseRepresentation
bin11001011000000…
…110110101110000
31002200010100000210
4121120012311300
51332442443442
6110125144120
713356546162
oct3130066560
91080110023
10425749872
111a93631a9
12ba6bb040
136a288c02
1440788932
152759d19c
hex19606d70

425749872 has 80 divisors (see below), whose sum is σ = 1208136960. Its totient is φ = 128595456.

The previous prime is 425749843. The next prime is 425749873. The reversal of 425749872 is 278947524.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425749873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10828 + ... + 31124.

It is an arithmetic number, because the mean of its divisors is an integer number (15101712).

Almost surely, 2425749872 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 425749872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604068480).

425749872 is an abundant number, since it is smaller than the sum of its proper divisors (782387088).

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

425749872 is a wasteful number, since it uses less digits than its factorization.

425749872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20350 (or 20344 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 425749872 is about 20633.7071802427. The cubic root of 425749872 is about 752.2892259281.

The spelling of 425749872 in words is "four hundred twenty-five million, seven hundred forty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 874 912 1104 1311 1748 2622 3496 5244 6992 10488 20297 20976 40594 60891 81188 121782 162376 243564 324752 385643 466831 487128 771286 933662 974256 1156929 1400493 1542572 1867324 2313858 2800986 3085144 3734648 4627716 5601972 6170288 7469296 8869789 9255432 11203944 17739578 18510864 22407888 26609367 35479156 53218734 70958312 106437468 141916624 212874936 425749872