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469742528 = 26371631217
BaseRepresentation
bin11011111111111…
…011001111000000
31012201220101121102
4123333323033000
51430223230103
6114340113532
714432513513
oct3377731700
91181811542
10469742528
11221180572
121113958a8
137641cb78
144655ad7a
152b38ce88
hex1bffb3c0

469742528 has 56 divisors (see below), whose sum is σ = 964003152. Its totient is φ = 226934784.

The previous prime is 469742527. The next prime is 469742549. The reversal of 469742528 is 825247964.

It is a super-2 number, since 2×4697425282 = 441316085223661568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469742527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385376 + ... + 386592.

It is an arithmetic number, because the mean of its divisors is an integer number (17214342).

Almost surely, 2469742528 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 469742528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482001576).

469742528 is an abundant number, since it is smaller than the sum of its proper divisors (494260624).

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

469742528 is a wasteful number, since it uses less digits than its factorization.

469742528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1419 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 469742528 is about 21673.5444263277. The cubic root of 469742528 is about 777.3560093561.

The spelling of 469742528 in words is "four hundred sixty-nine million, seven hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 163 296 326 592 652 1184 1217 1304 2368 2434 2608 4868 5216 6031 9736 10432 12062 19472 24124 38944 45029 48248 77888 90058 96496 180116 192992 198371 360232 385984 396742 720464 793484 1440928 1586968 2881856 3173936 6347872 7339727 12695744 14679454 29358908 58717816 117435632 234871264 469742528