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195098496 = 273618329
BaseRepresentation
bin10111010000011…
…11011110000000
3111121010000211020
423220033132000
5344421122441
631205345440
74556211165
oct1350173600
9447100736
10195098496
11a014542a
1255408280
133155c2c8
141bca806c
15121dbe66
hexba0f780

195098496 has 64 divisors (see below), whose sum is σ = 526789200. Its totient is φ = 63959040.

The previous prime is 195098483. The next prime is 195098513. The reversal of 195098496 is 694890591.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19260 + ... + 27588.

Almost surely, 2195098496 is an apocalyptic number.

195098496 is a gapful number since it is divisible by the number (16) 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 195098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263394600).

195098496 is an abundant number, since it is smaller than the sum of its proper divisors (331690704).

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

195098496 is an equidigital number, since it uses as much as digits as its factorization.

195098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 195098496 is about 13967.7663210694. The cubic root of 195098496 is about 579.9866187955.

The spelling of 195098496 in words is "one hundred ninety-five million, ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5856 7808 8329 11712 16658 23424 24987 33316 49974 66632 99948 133264 199896 266528 399792 508069 533056 799584 1016138 1066112 1524207 1599168 2032276 3048414 3198336 4064552 6096828 8129104 12193656 16258208 24387312 32516416 48774624 65032832 97549248 195098496