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54352896 = 2103131361
BaseRepresentation
bin1100111101010…
…1110000000000
310210021102011020
43033111300000
5102403243041
65220545440
71226664153
oct317256000
9123242136
1054352896
1128754154
1216252280
13b3507a0
14730bc9a
154b89866
hex33d5c00

54352896 has 88 divisors (see below), whose sum is σ = 156128784. Its totient is φ = 16711680.

The previous prime is 54352867. The next prime is 54352943. The reversal of 54352896 is 69825345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39256 + ... + 40616.

Almost surely, 254352896 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 54352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78064392).

54352896 is an abundant number, since it is smaller than the sum of its proper divisors (101775888).

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

54352896 is a wasteful number, since it uses less digits than its factorization.

54352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1379 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 54352896 is about 7372.4416579584. The cubic root of 54352896 is about 378.7979002473.

The spelling of 54352896 in words is "fifty-four million, three hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1361 1536 1664 2496 2722 3072 3328 4083 4992 5444 6656 8166 9984 10888 13312 16332 17693 19968 21776 32664 35386 39936 43552 53079 65328 70772 87104 106158 130656 141544 174208 212316 261312 283088 348416 424632 522624 566176 696832 849264 1045248 1132352 1393664 1698528 2090496 2264704 3397056 4180992 4529408 6794112 9058816 13588224 18117632 27176448 54352896