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54690288 = 24329101389
BaseRepresentation
bin1101000010100…
…0000111110000
310210220112222020
43100220013300
5103000042123
65232111440
71232600622
oct320500760
9123815866
1054690288
1128964694
1216395580
13b43b223
147398c12
154c047e3
hex34281f0

54690288 has 80 divisors (see below), whose sum is σ = 147981600. Its totient is φ = 17382400.

The previous prime is 54690271. The next prime is 54690289. The reversal of 54690288 is 88209645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54690289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140398 + ... + 140786.

It is an arithmetic number, because the mean of its divisors is an integer number (1849770).

Almost surely, 254690288 is an apocalyptic number.

54690288 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54690288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990800).

54690288 is an abundant number, since it is smaller than the sum of its proper divisors (93291312).

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

54690288 is a wasteful number, since it uses less digits than its factorization.

54690288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 54690288 is about 7395.2882296771. The cubic root of 54690288 is about 379.5800716682.

The spelling of 54690288 in words is "fifty-four million, six hundred ninety thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 101 116 174 202 232 303 348 389 404 464 606 696 778 808 1167 1212 1392 1556 1616 2334 2424 2929 3112 4668 4848 5858 6224 8787 9336 11281 11716 17574 18672 22562 23432 33843 35148 39289 45124 46864 67686 70296 78578 90248 117867 135372 140592 157156 180496 235734 270744 314312 471468 541488 628624 942936 1139381 1885872 2278762 3418143 4557524 6836286 9115048 13672572 18230096 27345144 54690288