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52423680 = 210353413
BaseRepresentation
bin1100011111111…
…0110000000000
310122122101202210
43013332300000
5101410024210
65111342120
71204410501
oct307766000
9118571683
1052423680
1127656761
1215681940
13ab2663a
146d68ba8
154907e20
hex31fec00

52423680 has 88 divisors (see below), whose sum is σ = 167722992. Its totient is φ = 13975552.

The previous prime is 52423673. The next prime is 52423741. The reversal of 52423680 is 8632425.

52423680 is a nontrivial binomial coefficient, being equal to C(10240, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13654 + ... + 17066.

Almost surely, 252423680 is an apocalyptic number.

52423680 is the 10239-th triangular number and also the 5120-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83861496).

52423680 is an abundant number, since it is smaller than the sum of its proper divisors (115299312).

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

52423680 is a wasteful number, since it uses less digits than its factorization.

52423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 52423680 is about 7240.4198773276. The cubic root of 52423680 is about 374.2620866874.

The spelling of 52423680 in words is "fifty-two million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3413 3840 5120 6826 7680 10239 13652 15360 17065 20478 27304 34130 40956 51195 54608 68260 81912 102390 109216 136520 163824 204780 218432 273040 327648 409560 436864 546080 655296 819120 873728 1092160 1310592 1638240 1747456 2184320 2621184 3276480 3494912 4368640 5242368 6552960 8737280 10484736 13105920 17474560 26211840 52423680