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54269952 = 211311273
BaseRepresentation
bin1100111100000…
…1100000000000
310210010012101020
43033001200000
5102343114302
65215105440
71226200302
oct317014000
9123105336
1054269952
11286a7900
1216212280
13b321ac9
1472c9972
154b6eebc
hex33c1800

54269952 has 144 divisors (see below), whose sum is σ = 161211960. Its totient is φ = 16220160.

The previous prime is 54269939. The next prime is 54269953. The reversal of 54269952 is 25996245.

Its product of digits (194400) is a multiple of the sum of its prime factors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54269953) 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, 743388 + ... + 743460.

Almost surely, 254269952 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 54269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80605980).

54269952 is an abundant number, since it is smaller than the sum of its proper divisors (106942008).

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

54269952 is a wasteful number, since it uses less digits than its factorization.

54269952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 54269952 is about 7366.8142368326. The cubic root of 54269952 is about 378.6051168447.

The spelling of 54269952 in words is "fifty-four million, two hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 121 128 132 146 176 192 219 242 256 264 292 352 363 384 438 484 512 528 584 704 726 768 803 876 968 1024 1056 1168 1408 1452 1536 1606 1752 1936 2048 2112 2336 2409 2816 2904 3072 3212 3504 3872 4224 4672 4818 5632 5808 6144 6424 7008 7744 8448 8833 9344 9636 11264 11616 12848 14016 15488 16896 17666 18688 19272 22528 23232 25696 26499 28032 30976 33792 35332 37376 38544 46464 51392 52998 56064 61952 67584 70664 74752 77088 92928 102784 105996 112128 123904 141328 149504 154176 185856 205568 211992 224256 247808 282656 308352 371712 411136 423984 448512 565312 616704 743424 822272 847968 1130624 1233408 1644544 1695936 2261248 2466816 3391872 4522496 4933632 6783744 9044992 13567488 18089984 27134976 54269952