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52826240 = 275591399
BaseRepresentation
bin1100100110000…
…1000010000000
310200101211222102
43021201002000
5102010414430
65124125532
71211005235
oct311410200
9120354872
1052826240
1127901155
12158368a8
13ac3793c
14703178c
154987345
hex3261080

52826240 has 64 divisors (see below), whose sum is σ = 128520000. Its totient is φ = 20757504.

The previous prime is 52826233. The next prime is 52826287. The reversal of 52826240 is 4262825.

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

It is a super-2 number, since 2×528262402 = 5581223265075200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37061 + ... + 38459.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 252826240 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 52826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64260000).

52826240 is an abundant number, since it is smaller than the sum of its proper divisors (75693760).

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

52826240 is a wasteful number, since it uses less digits than its factorization.

52826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 52826240 is about 7268.1662061348. The cubic root of 52826240 is about 375.2176277514.

The spelling of 52826240 in words is "fifty-two million, eight hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 295 320 472 590 640 944 1180 1399 1888 2360 2798 3776 4720 5596 6995 7552 9440 11192 13990 18880 22384 27980 37760 44768 55960 82541 89536 111920 165082 179072 223840 330164 412705 447680 660328 825410 895360 1320656 1650820 2641312 3301640 5282624 6603280 10565248 13206560 26413120 52826240