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52235520 = 283561223
BaseRepresentation
bin1100011101000…
…0110100000000
310122021211122220
43013100310000
5101333014040
65103331040
71202665101
oct307206400
9118254586
1052235520
1127538357
12155b0a80
13aa8babc
146d1a3a8
1548bc2d0
hex31d0d00

52235520 has 144 divisors (see below), whose sum is σ = 170322432. Its totient is φ = 13639680.

The previous prime is 52235479. The next prime is 52235531. The reversal of 52235520 is 2553225.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234129 + ... + 234351.

Almost surely, 252235520 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 52235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85161216).

52235520 is an abundant number, since it is smaller than the sum of its proper divisors (118086912).

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

52235520 is a wasteful number, since it uses less digits than its factorization.

52235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 52235520 is about 7227.4144754539. The cubic root of 52235520 is about 373.8137805344.

Adding to 52235520 its reverse (2553225), we get a palindrome (54788745).

The spelling of 52235520 in words is "fifty-two million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 223 240 244 256 305 320 366 384 446 480 488 610 640 669 732 768 892 915 960 976 1115 1220 1280 1338 1464 1784 1830 1920 1952 2230 2440 2676 2928 3345 3568 3660 3840 3904 4460 4880 5352 5856 6690 7136 7320 7808 8920 9760 10704 11712 13380 13603 14272 14640 15616 17840 19520 21408 23424 26760 27206 28544 29280 35680 39040 40809 42816 46848 53520 54412 57088 58560 68015 71360 78080 81618 85632 107040 108824 117120 136030 142720 163236 171264 204045 214080 217648 234240 272060 285440 326472 408090 428160 435296 544120 652944 816180 856320 870592 1088240 1305888 1632360 1741184 2176480 2611776 3264720 3482368 4352960 5223552 6529440 8705920 10447104 13058880 17411840 26117760 52235520