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54202368 = 212311401
BaseRepresentation
bin1100111011000…
…1000000000000
310202222202200010
43032301000000
5102333433433
65213424520
71225466253
oct316610000
9122882603
1054202368
1128661050
121619b140
13b2ca10c
1472ad09a
154b59e63
hex33b1000

54202368 has 104 divisors (see below), whose sum is σ = 158053536. Its totient is φ = 16384000.

The previous prime is 54202367. The next prime is 54202381. The reversal of 54202368 is 86320245.

It is not an unprimeable number, because it can be changed into a prime (54202361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134968 + ... + 135368.

Almost surely, 254202368 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 54202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79026768).

54202368 is an abundant number, since it is smaller than the sum of its proper divisors (103851168).

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

54202368 is a wasteful number, since it uses less digits than its factorization.

54202368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54202368 is about 7362.2257504100. The cubic root of 54202368 is about 378.4478887881.

The spelling of 54202368 in words is "fifty-four million, two hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 401 512 528 704 768 802 1024 1056 1203 1408 1536 1604 2048 2112 2406 2816 3072 3208 4096 4224 4411 4812 5632 6144 6416 8448 8822 9624 11264 12288 12832 13233 16896 17644 19248 22528 25664 26466 33792 35288 38496 45056 51328 52932 67584 70576 76992 102656 105864 135168 141152 153984 205312 211728 282304 307968 410624 423456 564608 615936 821248 846912 1129216 1231872 1642496 1693824 2258432 2463744 3387648 4516864 4927488 6775296 9033728 13550592 18067456 27101184 54202368