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53764452 = 22337192197
BaseRepresentation
bin1100110100011…
…0000101100100
310202011111222000
43031012011210
5102230430302
65200205300
71221663450
oct315060544
9122144860
1053764452
1128392035
1216009830
13b1a59b1
1471d7660
154ac031c
hex3346164

53764452 has 144 divisors (see below), whose sum is σ = 168981120. Its totient is φ = 14478912.

The previous prime is 53764439. The next prime is 53764453. The reversal of 53764452 is 25446735.

53764452 is a `hidden beast` number, since 5 + 3 + 7 + 644 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53764453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272818 + ... + 273014.

It is an arithmetic number, because the mean of its divisors is an integer number (1173480).

Almost surely, 253764452 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 53764452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490560).

53764452 is an abundant number, since it is smaller than the sum of its proper divisors (115216668).

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

53764452 is a wasteful number, since it uses less digits than its factorization.

53764452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 53764452 is about 7332.4247012840. The cubic root of 53764452 is about 377.4259363786.

The spelling of 53764452 in words is "fifty-three million, seven hundred sixty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 197 228 252 266 342 361 378 394 399 513 532 591 684 722 756 788 798 1026 1083 1182 1197 1379 1444 1596 1773 2052 2166 2364 2394 2527 2758 3249 3546 3591 3743 4137 4332 4788 5054 5319 5516 6498 7092 7182 7486 7581 8274 9747 10108 10638 11229 12411 12996 14364 14972 15162 16548 19494 21276 22458 22743 24822 26201 30324 33687 37233 38988 44916 45486 49644 52402 67374 68229 71117 74466 78603 90972 101061 104804 134748 136458 142234 148932 157206 202122 213351 235809 272916 284468 314412 404244 426702 471618 497819 640053 707427 853404 943236 995638 1280106 1414854 1493457 1920159 1991276 2560212 2829708 2986914 3840318 4480371 5973828 7680636 8960742 13441113 17921484 26882226 53764452