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53758380 = 223513413
BaseRepresentation
bin1100110100010…
…0100110101100
310202011012122010
43031010212230
5102230232010
65200121220
71221636654
oct315044654
9122135563
1053758380
1128388515
1216006210
13b1a2cc0
1471d5364
154abd620
hex33449ac

53758380 has 96 divisors (see below), whose sum is σ = 166154688. Its totient is φ = 12910080.

The previous prime is 53758363. The next prime is 53758423. The reversal of 53758380 is 8385735.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a plaindrome in base 16.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 533 × 205 × 492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311160 + ... + 1311200.

It is an arithmetic number, because the mean of its divisors is an integer number (1730778).

Almost surely, 253758380 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 53758380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83077344).

53758380 is an abundant number, since it is smaller than the sum of its proper divisors (112396308).

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

53758380 is a wasteful number, since it uses less digits than its factorization.

53758380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 53758380 is about 7332.0106382902. The cubic root of 53758380 is about 377.4117273832.

The spelling of 53758380 in words is "fifty-three million, seven hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 1681 2132 2460 2665 3198 3362 5043 5330 6396 6724 7995 8405 10086 10660 15990 16810 20172 21853 25215 31980 33620 43706 50430 65559 68921 87412 100860 109265 131118 137842 206763 218530 262236 275684 327795 344605 413526 437060 655590 689210 827052 895973 1033815 1311180 1378420 1791946 2067630 2687919 3583892 4135260 4479865 5375838 8959730 10751676 13439595 17919460 26879190 53758380