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52977078 = 23471131137
BaseRepresentation
bin1100101000010…
…1110110110110
310200200111220000
43022011312312
5102030231303
65131252130
71212204060
oct312056666
9120614800
1052977078
11279a4510
12158aa046
13ac8b4ab
147070730
1549b6da3
hex3285db6

52977078 has 160 divisors (see below), whose sum is σ = 153888768. Its totient is φ = 13219200.

The previous prime is 52977059. The next prime is 52977079. The reversal of 52977078 is 87077925.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52977079) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 386626 + ... + 386762.

Almost surely, 252977078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52977078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76944384).

52977078 is an abundant number, since it is smaller than the sum of its proper divisors (100911690).

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

52977078 is a wasteful number, since it uses less digits than its factorization.

52977078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 52977078 is about 7278.5354296040. The cubic root of 52977078 is about 375.5744156751.

The spelling of 52977078 in words is "fifty-two million, nine hundred seventy-seven thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 31 33 42 54 62 63 66 77 81 93 99 126 137 154 162 186 189 198 217 231 274 279 297 341 378 411 434 462 558 567 594 651 682 693 822 837 891 959 1023 1134 1233 1302 1386 1507 1674 1782 1918 1953 2046 2079 2387 2466 2511 2877 3014 3069 3699 3906 4158 4247 4521 4774 5022 5754 5859 6138 6237 7161 7398 8494 8631 9042 9207 10549 11097 11718 12474 12741 13563 14322 17262 17577 18414 21098 21483 22194 25482 25893 27126 27621 29729 31647 35154 38223 40689 42966 46717 51786 55242 59458 63294 64449 76446 77679 81378 89187 93434 94941 114669 122067 128898 140151 155358 178374 189882 193347 229338 244134 267561 280302 284823 327019 344007 386694 420453 535122 569646 654038 688014 802683 840906 854469 981057 1261359 1605366 1708938 1962114 2408049 2522718 2943171 3784077 4816098 5886342 7568154 8829513 17659026 26488539 52977078