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52369920 = 293252273
BaseRepresentation
bin1100011111000…
…1101000000000
310122112200000200
43013301220000
5101401314140
65110245200
71204064661
oct307615000
9118480020
1052369920
112761a329
1215656800
13ab08025
146d53368
1548e7030
hex31f1a00

52369920 has 120 divisors (see below), whose sum is σ = 181451556. Its totient is φ = 13959168.

The previous prime is 52369901. The next prime is 52369921. The reversal of 52369920 is 2996325.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 1218816 = 7152^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (52369921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21904 + ... + 24176.

Almost surely, 252369920 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 52369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90725778).

52369920 is an abundant number, since it is smaller than the sum of its proper divisors (129081636).

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

52369920 is a wasteful number, since it uses less digits than its factorization.

52369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 52369920 is about 7236.7064331780. The cubic root of 52369920 is about 374.1341088255.

The spelling of 52369920 in words is "fifty-two million, three hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2273 2304 2560 2880 3840 4546 4608 5760 6819 7680 9092 11365 11520 13638 18184 20457 22730 23040 27276 34095 36368 40914 45460 54552 68190 72736 81828 90920 102285 109104 136380 145472 163656 181840 204570 218208 272760 290944 327312 363680 409140 436416 545520 581888 654624 727360 818280 872832 1091040 1163776 1309248 1454720 1636560 1745664 2182080 2618496 2909440 3273120 3491328 4364160 5236992 5818880 6546240 8728320 10473984 13092480 17456640 26184960 52369920