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52294680 = 23335411181
BaseRepresentation
bin1100011101111…
…1010000011000
310122101211211000
43013133100120
5101341412210
65104505000
71203332424
oct307372030
9118354730
1052294680
1127578849
121561b160
13aaac9c9
146d33b84
1548ceac0
hex31df418

52294680 has 128 divisors (see below), whose sum is σ = 178718400. Its totient is φ = 13593600.

The previous prime is 52294673. The next prime is 52294717. The reversal of 52294680 is 8649225.

It is a happy number.

52294680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43690 + ... + 44870.

Almost surely, 252294680 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 52294680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89359200).

52294680 is an abundant number, since it is smaller than the sum of its proper divisors (126423720).

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

52294680 is a wasteful number, since it uses less digits than its factorization.

52294680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52294680 is about 7231.5060672034. The cubic root of 52294680 is about 373.9548498023.

The spelling of 52294680 in words is "fifty-two million, two hundred ninety-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1181 1230 1476 1640 1845 2214 2362 2460 2952 3543 3690 4428 4724 4920 5535 5905 7086 7380 8856 9448 10629 11070 11810 14172 14760 17715 21258 22140 23620 28344 31887 35430 42516 44280 47240 48421 53145 63774 70860 85032 96842 106290 127548 141720 145263 159435 193684 212580 242105 255096 290526 318870 387368 425160 435789 484210 581052 637740 726315 871578 968420 1162104 1275480 1307367 1452630 1743156 1936840 2178945 2614734 2905260 3486312 4357890 5229468 5810520 6536835 8715780 10458936 13073670 17431560 26147340 52294680