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53406276 = 223721123359
BaseRepresentation
bin1100101110111…
…0101001000100
310201111022122020
43023232221010
5102133000101
65144403140
71215642300
oct313565104
9121438566
1053406276
1128167a20
1215a764b0
13b0ab961
147142d00
154a4e136
hex32eea44

53406276 has 144 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 13231680.

The previous prime is 53406259. The next prime is 53406277. The reversal of 53406276 is 67260435.

53406276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (53406277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148585 + ... + 148943.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 253406276 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 53406276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

53406276 is an abundant number, since it is smaller than the sum of its proper divisors (112067004).

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

53406276 is a wasteful number, since it uses less digits than its factorization.

53406276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 53406276 is about 7307.9597700042. The cubic root of 53406276 is about 376.5859375723.

The spelling of 53406276 in words is "fifty-three million, four hundred six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 49 66 69 77 84 92 98 132 138 147 154 161 196 231 253 276 294 308 322 359 462 483 506 539 588 644 718 759 924 966 1012 1077 1078 1127 1436 1518 1617 1771 1932 2154 2156 2254 2513 3036 3234 3381 3542 3949 4308 4508 5026 5313 6468 6762 7084 7539 7898 8257 10052 10626 11847 12397 13524 15078 15796 16514 17591 21252 23694 24771 24794 27643 30156 33028 35182 37191 47388 49542 49588 52773 55286 57799 70364 74382 82929 90827 99084 105546 110572 115598 148764 165858 173397 181654 193501 211092 231196 272481 331716 346794 363308 387002 404593 544962 580503 635789 693588 774004 809186 1089924 1161006 1213779 1271578 1618372 1907367 2322012 2427558 2543156 3814734 4450523 4855116 7629468 8901046 13351569 17802092 26703138 53406276