Search a number
-
+
52535640 = 2335617177
BaseRepresentation
bin1100100001101…
…0000101011000
310122212002100110
43020122011120
5101422120030
65114004320
71205355063
oct310320530
9118762313
1052535640
1127722893
12157166a0
13ab655a1
146d978da
15492b1b0
hex321a158

52535640 has 64 divisors (see below), whose sum is σ = 160212960. Its totient is φ = 13777920.

The previous prime is 52535633. The next prime is 52535647. The reversal of 52535640 is 4653525.

It is an interprime number because it is at equal distance from previous prime (52535633) and next prime (52535647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52535598 and 52535607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52535647) 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, 3732 + ... + 10908.

Almost surely, 252535640 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 52535640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80106480).

52535640 is an abundant number, since it is smaller than the sum of its proper divisors (107677320).

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

52535640 is a wasteful number, since it uses less digits than its factorization.

52535640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 52535640 is about 7248.1473494956. The cubic root of 52535640 is about 374.5283314366.

The spelling of 52535640 in words is "fifty-two million, five hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7177 7320 14354 21531 28708 35885 43062 57416 71770 86124 107655 143540 172248 215310 287080 430620 437797 861240 875594 1313391 1751188 2188985 2626782 3502376 4377970 5253564 6566955 8755940 10507128 13133910 17511880 26267820 52535640