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52070700 = 223521131509
BaseRepresentation
bin1100011010100…
…0100100101100
310121222110120110
43012220210230
5101312230300
65100020020
71201410423
oct306504454
9117873513
1052070700
1127435540
1215531610
13aa31a86
146cb62ba
154888550
hex31a892c

52070700 has 144 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 12192000.

The previous prime is 52070687. The next prime is 52070713. The reversal of 52070700 is 707025.

It is an interprime number because it is at equal distance from previous prime (52070687) and next prime (52070713).

It is a super-4 number, since 4×520707004 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102046 + ... + 102554.

It is an arithmetic number, because the mean of its divisors is an integer number (1180480).

Almost surely, 252070700 is an apocalyptic number.

52070700 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 52070700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

52070700 is an abundant number, since it is smaller than the sum of its proper divisors (117918420).

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

52070700 is a wasteful number, since it uses less digits than its factorization.

52070700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 52070700 is about 7216.0030487798. The cubic root of 52070700 is about 373.4201983954.

Adding to 52070700 its reverse (707025), we get a palindrome (52777725).

The spelling of 52070700 in words is "fifty-two million, seventy thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 509 550 620 660 682 775 825 930 1018 1023 1100 1364 1527 1550 1650 1705 1860 2036 2046 2325 2545 3054 3100 3300 3410 4092 4650 5090 5115 5599 6108 6820 7635 8525 9300 10180 10230 11198 12725 15270 15779 16797 17050 20460 22396 25450 25575 27995 30540 31558 33594 34100 38175 47337 50900 51150 55990 63116 67188 76350 78895 83985 94674 102300 111980 139975 152700 157790 167970 173569 189348 236685 279950 315580 335940 347138 394475 419925 473370 520707 559900 694276 788950 839850 867845 946740 1041414 1183425 1577900 1679700 1735690 2082828 2366850 2603535 3471380 4339225 4733700 5207070 8678450 10414140 13017675 17356900 26035350 52070700