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53739552 = 2532997199
BaseRepresentation
bin1100110100000…
…0000000100000
310202010020210210
43031000000200
5102224131202
65155454120
71221531036
oct315000040
9122106723
1053739552
1128375359
1215bb7340
13b197569
1471cc556
154ab7c6c
hex3340020

53739552 has 96 divisors (see below), whose sum is σ = 148176000. Its totient is φ = 17031168.

The previous prime is 53739527. The next prime is 53739557. The reversal of 53739552 is 25593735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 53739552.

It is not an unprimeable number, because it can be changed into a prime (53739557) 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, 269949 + ... + 270147.

It is an arithmetic number, because the mean of its divisors is an integer number (1543500).

Almost surely, 253739552 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 53739552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74088000).

53739552 is an abundant number, since it is smaller than the sum of its proper divisors (94436448).

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

53739552 is a wasteful number, since it uses less digits than its factorization.

53739552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 141750, while the sum is 39.

The square root of 53739552 is about 7330.7265669918. The cubic root of 53739552 is about 377.3676614611.

It can be divided in two parts, 5373 and 9552, that multiplied together give a square (51322896 = 71642).

The spelling of 53739552 in words is "fifty-three million, seven hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 97 116 174 194 199 232 291 348 388 398 464 582 597 696 776 796 928 1164 1194 1392 1552 1592 2328 2388 2784 2813 3104 3184 4656 4776 5626 5771 6368 8439 9312 9552 11252 11542 16878 17313 19104 19303 22504 23084 33756 34626 38606 45008 46168 57909 67512 69252 77212 90016 92336 115818 135024 138504 154424 184672 231636 270048 277008 308848 463272 554016 559787 617696 926544 1119574 1679361 1853088 2239148 3358722 4478296 6717444 8956592 13434888 17913184 26869776 53739552