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52349700 = 223521331433
BaseRepresentation
bin1100011110110…
…0101100000100
310122111122021210
43013230230010
5101400142300
65110011420
71203652014
oct307545404
9118448253
1052349700
1127606117
1215646b70
13aacba70
146d49c44
1548e1050
hex31ecb04

52349700 has 144 divisors (see below), whose sum is σ = 168766976. Its totient is φ = 12441600.

The previous prime is 52349699. The next prime is 52349701. The reversal of 52349700 is 794325.

It is an interprime number because it is at equal distance from previous prime (52349699) and next prime (52349701).

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

It is not an unprimeable number, because it can be changed into a prime (52349701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120684 + ... + 121116.

Almost surely, 252349700 is an apocalyptic number.

52349700 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 52349700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84383488).

52349700 is an abundant number, since it is smaller than the sum of its proper divisors (116417276).

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

52349700 is a wasteful number, since it uses less digits than its factorization.

52349700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 52349700 is about 7235.3092539296. The cubic root of 52349700 is about 374.0859516295.

The spelling of 52349700 in words is "fifty-two million, three hundred forty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 31 39 50 52 60 62 65 75 78 93 100 124 130 150 155 156 186 195 260 300 310 325 372 390 403 433 465 620 650 775 780 806 866 930 975 1209 1299 1300 1550 1612 1732 1860 1950 2015 2165 2325 2418 2598 3100 3900 4030 4330 4650 4836 5196 5629 6045 6495 8060 8660 9300 10075 10825 11258 12090 12990 13423 16887 20150 21650 22516 24180 25980 26846 28145 30225 32475 33774 40269 40300 43300 53692 56290 60450 64950 67115 67548 80538 84435 112580 120900 129900 134230 140725 161076 168870 174499 201345 268460 281450 335575 337740 348998 402690 422175 523497 562900 671150 697996 805380 844350 872495 1006725 1046994 1342300 1688700 1744990 2013450 2093988 2617485 3489980 4026900 4362475 5234970 8724950 10469940 13087425 17449900 26174850 52349700