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54690496 = 2671743167
BaseRepresentation
bin1101000010100…
…0001011000000
310210220120020221
43100220023000
5103000043441
65232112424
71232601340
oct320501300
9123816227
1054690496
1128964863
1216395714
13b43b353
147398d20
154c048d1
hex34282c0

54690496 has 112 divisors (see below), whose sum is σ = 135184896. Its totient is φ = 21417984.

The previous prime is 54690473. The next prime is 54690499. The reversal of 54690496 is 69409645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (54690499) 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, 327405 + ... + 327571.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 254690496 is an apocalyptic number.

54690496 is a gapful number since it is divisible by the number (56) 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 54690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448).

54690496 is an abundant number, since it is smaller than the sum of its proper divisors (80494400).

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

54690496 is a wasteful number, since it uses less digits than its factorization.

54690496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 54690496 is about 7395.3022926720. The cubic root of 54690496 is about 379.5805528783.

The spelling of 54690496 in words is "fifty-four million, six hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 56 64 68 86 112 119 136 167 172 224 238 272 301 334 344 448 476 544 602 668 688 731 952 1088 1169 1204 1336 1376 1462 1904 2338 2408 2672 2752 2839 2924 3808 4676 4816 5117 5344 5678 5848 7181 7616 9352 9632 10234 10688 11356 11696 14362 18704 19264 19873 20468 22712 23392 28724 37408 39746 40936 45424 46784 50267 57448 74816 79492 81872 90848 100534 114896 122077 158984 163744 181696 201068 229792 244154 317968 327488 402136 459584 488308 635936 804272 854539 976616 1271872 1608544 1709078 1953232 3217088 3418156 3906464 6836312 7812928 13672624 27345248 54690496