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52996680 = 23345111487
BaseRepresentation
bin1100101000101…
…0101001001000
310200201111210000
43022022221020
5102031343210
65131523000
71212315162
oct312125110
9120644700
1052996680
1127a08210
12158b9460
13ac973a9
147077932
1549bcac0
hex328aa48

52996680 has 160 divisors (see below), whose sum is σ = 194451840. Its totient is φ = 12839040.

The previous prime is 52996673. The next prime is 52996687. The reversal of 52996680 is 8669925.

It is an interprime number because it is at equal distance from previous prime (52996673) and next prime (52996687).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52996687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34897 + ... + 36383.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 252996680 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 52996680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97225920).

52996680 is an abundant number, since it is smaller than the sum of its proper divisors (141455160).

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

52996680 is a wasteful number, since it uses less digits than its factorization.

52996680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 52996680 is about 7279.8818671734. The cubic root of 52996680 is about 375.6207319447.

The spelling of 52996680 in words is "fifty-two million, nine hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1487 1620 1782 1980 2376 2970 2974 3240 3564 3960 4455 4461 5940 5948 7128 7435 8910 8922 11880 11896 13383 14870 16357 17820 17844 22305 26766 29740 32714 35640 35688 40149 44610 49071 53532 59480 65428 66915 80298 81785 89220 98142 107064 120447 130856 133830 147213 160596 163570 178440 196284 200745 240894 245355 267660 294426 321192 327140 392568 401490 441639 481788 490710 535320 588852 602235 654280 736065 802980 883278 963576 981420 1177704 1204470 1324917 1472130 1605960 1766556 1962840 2208195 2408940 2649834 2944260 3533112 4416390 4817880 5299668 5888520 6624585 8832780 10599336 13249170 17665560 26498340 52996680