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5752500 = 223541359
BaseRepresentation
bin10101111100011010110100
3101211020221120
4111330122310
52433040000
6323143540
766616065
oct25743264
911736846
105752500
113279a36
121b14bb0
131265460
14a9a56c
157896a0
hex57c6b4

5752500 has 120 divisors (see below), whose sum is σ = 18369120. Its totient is φ = 1392000.

The previous prime is 5752499. The next prime is 5752519. The reversal of 5752500 is 52575.

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 39 ways as a sum of consecutive naturals, for example, 97471 + ... + 97529.

It is an arithmetic number, because the mean of its divisors is an integer number (153076).

Almost surely, 25752500 is an apocalyptic number.

5752500 is a gapful number since it is divisible by the number (50) 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 5752500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9184560).

5752500 is an abundant number, since it is smaller than the sum of its proper divisors (12616620).

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

5752500 is a wasteful number, since it uses less digits than its factorization.

5752500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 5752500 is about 2398.4369910423. The cubic root of 5752500 is about 179.1783539038.

The spelling of 5752500 in words is "five million, seven hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 59 60 65 75 78 100 118 125 130 150 156 177 195 236 250 260 295 300 325 354 375 390 500 590 625 650 708 750 767 780 885 975 1180 1250 1300 1475 1500 1534 1625 1770 1875 1950 2301 2500 2950 3068 3250 3540 3750 3835 3900 4425 4602 4875 5900 6500 7375 7500 7670 8125 8850 9204 9750 11505 14750 15340 16250 17700 19175 19500 22125 23010 24375 29500 32500 36875 38350 44250 46020 48750 57525 73750 76700 88500 95875 97500 110625 115050 147500 191750 221250 230100 287625 383500 442500 479375 575250 958750 1150500 1438125 1917500 2876250 5752500