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52575040 = 26573479
BaseRepresentation
bin1100100010001…
…1101101000000
310122221002101201
43020203231000
5101424400130
65114510544
71205611000
oct310435500
9118832351
1052575040
112774a451
1215735454
13ab7a4bb
146da8000
154937bca
hex3223b40

52575040 has 112 divisors (see below), whose sum is σ = 146304000. Its totient is φ = 17988096.

The previous prime is 52575023. The next prime is 52575043. The reversal of 52575040 is 4057525.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52575043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109521 + ... + 109999.

Almost surely, 252575040 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 52575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73152000).

52575040 is an abundant number, since it is smaller than the sum of its proper divisors (93728960).

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

52575040 is an equidigital number, since it uses as much as digits as its factorization.

52575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 52575040 is about 7250.8647760112. The cubic root of 52575040 is about 374.6219360121.

The spelling of 52575040 in words is "fifty-two million, five hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 479 490 560 686 784 958 980 1120 1372 1568 1715 1916 1960 2240 2395 2744 3136 3353 3430 3832 3920 4790 5488 6706 6860 7664 7840 9580 10976 13412 13720 15328 15680 16765 19160 21952 23471 26824 27440 30656 33530 38320 46942 53648 54880 67060 76640 93884 107296 109760 117355 134120 153280 164297 187768 214592 234710 268240 328594 375536 469420 536480 657188 751072 821485 938840 1072960 1314376 1502144 1642970 1877680 2628752 3285940 3755360 5257504 6571880 7510720 10515008 13143760 26287520 52575040