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202542048 = 25322330577
BaseRepresentation
bin11000001001010…
…00101111100000
3112010010012110100
430010220233200
5403322321143
632033102400
75006402412
oct1404505740
9463105410
10202542048
11a4369925
12579b7a00
1332c67387
141cc849b2
1512bac6d3
hexc128be0

202542048 has 72 divisors (see below), whose sum is σ = 601041168. Its totient is φ = 64576512.

The previous prime is 202542037. The next prime is 202542059. The reversal of 202542048 is 840245202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202542037) and next prime (202542059).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8665 + ... + 21912.

It is an arithmetic number, because the mean of its divisors is an integer number (8347794).

Almost surely, 2202542048 is an apocalyptic number.

It is an amenable number.

202542048 is an abundant number, since it is smaller than the sum of its proper divisors (398499120).

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

202542048 is a wasteful number, since it uses less digits than its factorization.

202542048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30616 (or 30605 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 202542048 is about 14231.7268101942. The cubic root of 202542048 is about 587.2707883882.

The spelling of 202542048 in words is "two hundred two million, five hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 30577 61154 91731 122308 183462 244616 275193 366924 489232 550386 703271 733848 978464 1100772 1406542 1467696 2109813 2201544 2813084 2935392 4219626 4403088 5626168 6329439 8439252 8806176 11252336 12658878 16878504 22504672 25317756 33757008 50635512 67514016 101271024 202542048