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54114032 = 2472233001
BaseRepresentation
bin1100111001101…
…1011011110000
310202211021111102
43032123123300
5102323122112
65211503532
71224650600
oct316333360
9122737442
1054114032
1128600745
1216157ba8
13b298b4b
147288c00
154b3dbc2
hex339b6f0

54114032 has 60 divisors (see below), whose sum is σ = 127308816. Its totient is φ = 22176000.

The previous prime is 54114023. The next prime is 54114059. The reversal of 54114032 is 23041145.

It is a junction number, because it is equal to n+sod(n) for n = 54113995 and 54114013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16532 + ... + 19532.

Almost surely, 254114032 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 54114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63654408).

54114032 is an abundant number, since it is smaller than the sum of its proper divisors (73194784).

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

54114032 is a wasteful number, since it uses less digits than its factorization.

54114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 54114032 is about 7356.2240313900. The cubic root of 54114032 is about 378.2421859041.

Adding to 54114032 its reverse (23041145), we get a palindrome (77155177).

The spelling of 54114032 in words is "fifty-four million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2576 3001 4508 6002 9016 12004 18032 21007 24008 42014 48016 69023 84028 138046 147049 168056 276092 294098 336112 483161 552184 588196 966322 1104368 1176392 1932644 2352784 3382127 3865288 6764254 7730576 13528508 27057016 54114032