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202485248 = 29731153
BaseRepresentation
bin11000001000110…
…10111000000000
3112010000022112122
430010122320000
5403314011443
632031543412
75006045000
oct1404327000
9463008478
10202485248
11a4330189
125798ab68
1332c47574
141cc6c000
1512b9a968
hexc11ae00

202485248 has 80 divisors (see below), whose sum is σ = 472216800. Its totient is φ = 86704128.

The previous prime is 202485229. The next prime is 202485253. The reversal of 202485248 is 842584202.

202485248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175040 + ... + 176192.

It is an arithmetic number, because the mean of its divisors is an integer number (5902710).

Almost surely, 2202485248 is an apocalyptic number.

202485248 is a gapful number since it is divisible by the number (28) 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 202485248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236108400).

202485248 is an abundant number, since it is smaller than the sum of its proper divisors (269731552).

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

202485248 is an frugal number, since it uses more digits than its factorization.

202485248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 202485248 is about 14229.7311288724. The cubic root of 202485248 is about 587.2158860445.

The spelling of 202485248 in words is "two hundred two million, four hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1153 1372 1568 1792 2306 2744 3136 3584 4612 5488 6272 8071 9224 10976 12544 16142 18448 21952 25088 32284 36896 43904 56497 64568 73792 87808 112994 129136 147584 175616 225988 258272 295168 395479 451976 516544 590336 790958 903952 1033088 1581916 1807904 2066176 3163832 3615808 4132352 6327664 7231616 12655328 14463232 25310656 28926464 50621312 101242624 202485248