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498141252 = 22357210459
BaseRepresentation
bin11101101100010…
…000100001000100
31021201100012100000
4131230100201010
52010011010002
6121232521300
715226062600
oct3554204104
91251305300
10498141252
11236207994
1211a9b0230
137c28404b
144a230500
152daec61c
hex1db10844

498141252 has 108 divisors (see below), whose sum is σ = 1519168560. Its totient is φ = 142312464.

The previous prime is 498141251. The next prime is 498141271. The reversal of 498141252 is 252141894.

498141252 is a `hidden beast` number, since 498 + 141 + 25 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-3 number, since 3×4981412523 (a number of 27 digits) contains 333 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (498141251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42399 + ... + 52857.

Almost surely, 2498141252 is an apocalyptic number.

498141252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498141252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759584280).

498141252 is an abundant number, since it is smaller than the sum of its proper divisors (1021027308).

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

498141252 is a wasteful number, since it uses less digits than its factorization.

498141252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10471 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 498141252 is about 22319.0782067719. The cubic root of 498141252 is about 792.7157785324.

The spelling of 498141252 in words is "four hundred ninety-eight million, one hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 6804 7938 10459 11907 15876 20918 23814 31377 41836 47628 62754 73213 94131 125508 146426 188262 219639 282393 292852 376524 439278 512491 564786 658917 847179 878556 1024982 1129572 1317834 1537473 1694358 1976751 2049964 2541537 2635668 3074946 3388716 3953502 4612419 5083074 5930253 6149892 7907004 9224838 10166148 11860506 13837257 17790759 18449676 23721012 27674514 35581518 41511771 55349028 71163036 83023542 124535313 166047084 249070626 498141252