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53739520 = 218541
BaseRepresentation
bin1100110100000…
…0000000000000
310202010020202121
43031000000000
5102224131040
65155454024
71221530662
oct315000000
9122106677
1053739520
112837532a
1215bb7314
13b197543
1471cc532
154ab7c4a
hex3340000

53739520 has 76 divisors (see below), whose sum is σ = 132120324. Its totient is φ = 20971520.

The previous prime is 53739493. The next prime is 53739527. The reversal of 53739520 is 2593735.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 44302336 = 3072^2 + 6656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53739527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310700 + ... + 1310740.

Almost surely, 253739520 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 53739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66060162).

53739520 is an abundant number, since it is smaller than the sum of its proper divisors (78380804).

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

53739520 is an frugal number, since it uses more digits than its factorization.

53739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 34.

The square root of 53739520 is about 7330.7243843975. The cubic root of 53739520 is about 377.3675865581.

The spelling of 53739520 in words is "fifty-three million, seven hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1024 1280 1312 1640 2048 2560 2624 3280 4096 5120 5248 6560 8192 10240 10496 13120 16384 20480 20992 26240 32768 40960 41984 52480 65536 81920 83968 104960 131072 163840 167936 209920 262144 327680 335872 419840 655360 671744 839680 1310720 1343488 1679360 2686976 3358720 5373952 6717440 10747904 13434880 26869760 53739520