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52970940 = 223251131863
BaseRepresentation
bin1100101000010…
…0010110111100
310200200012110200
43022010112330
5102030032230
65131203500
71212150141
oct312042674
9120605420
1052970940
112799a940
12158a6590
13ac88769
14706c3c8
1549b5160
hex32845bc

52970940 has 144 divisors (see below), whose sum is σ = 181149696. Its totient is φ = 12412800.

The previous prime is 52970891. The next prime is 52970947. The reversal of 52970940 is 4907925.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52970895 and 52970904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52970947) 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, 60949 + ... + 61811.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 252970940 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 52970940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

52970940 is an abundant number, since it is smaller than the sum of its proper divisors (128178756).

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

52970940 is a wasteful number, since it uses less digits than its factorization.

52970940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 52970940 is about 7278.1137666294. The cubic root of 52970940 is about 375.5599102520.

The spelling of 52970940 in words is "fifty-two million, nine hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 863 930 990 1023 1116 1364 1395 1705 1726 1860 1980 2046 2589 2790 3069 3410 3452 4092 4315 5115 5178 5580 6138 6820 7767 8630 9493 10230 10356 12276 12945 15345 15534 17260 18986 20460 25890 26753 28479 30690 31068 37972 38835 47465 51780 53506 56958 61380 77670 80259 85437 94930 107012 113916 133765 142395 155340 160518 170874 189860 240777 267530 284790 294283 321036 341748 401295 427185 481554 535060 569580 588566 802590 854370 882849 963108 1177132 1203885 1471415 1605180 1708740 1765698 2407770 2648547 2942830 3531396 4414245 4815540 5297094 5885660 8828490 10594188 13242735 17656980 26485470 52970940