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200541048 = 233192319121
BaseRepresentation
bin10111111010000…
…00001101111000
3111222100112121020
423331000031320
5402314303143
631522142440
74653366531
oct1375001570
9458315536
10200541048
11a3222504
12571b1a20
1332716656
141c8c3688
1512914883
hexbf40378

200541048 has 64 divisors (see below), whose sum is σ = 550713600. Its totient is φ = 60572160.

The previous prime is 200541043. The next prime is 200541049. The reversal of 200541048 is 840145002.

200541048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200541043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928 + ... + 20048.

It is an arithmetic number, because the mean of its divisors is an integer number (8604900).

Almost surely, 2200541048 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 200541048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275356800).

200541048 is an abundant number, since it is smaller than the sum of its proper divisors (350172552).

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

200541048 is a wasteful number, since it uses less digits than its factorization.

200541048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19172 (or 19168 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 200541048 is about 14161.2516395974. The cubic root of 200541048 is about 585.3304174744.

The spelling of 200541048 in words is "two hundred million, five hundred forty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 5244 10488 19121 38242 57363 76484 114726 152968 229452 363299 439783 458904 726598 879566 1089897 1319349 1453196 1759132 2179794 2638698 2906392 3518264 4359588 5277396 8355877 8719176 10554792 16711754 25067631 33423508 50135262 66847016 100270524 200541048