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54778976 = 2571961211
BaseRepresentation
bin1101000011110…
…1110001100000
310211002001121222
43100331301200
5103010411401
65234034212
71233420320
oct320756140
9124061558
1054778976
1128a1528a
1216418968
13b46c6c5
1473bd280
154c20c1b
hex343dc60

54778976 has 96 divisors (see below), whose sum is σ = 132491520. Its totient is φ = 21772800.

The previous prime is 54778973. The next prime is 54779009. The reversal of 54778976 is 67987745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54778973) 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, 259511 + ... + 259721.

It is an arithmetic number, because the mean of its divisors is an integer number (1380120).

Almost surely, 254778976 is an apocalyptic number.

54778976 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 54778976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66245760).

54778976 is an abundant number, since it is smaller than the sum of its proper divisors (77712544).

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

54778976 is a wasteful number, since it uses less digits than its factorization.

54778976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 53.

The square root of 54778976 is about 7401.2820511044. The cubic root of 54778976 is about 379.7851416963.

The spelling of 54778976 in words is "fifty-four million, seven hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 61 76 112 122 133 152 211 224 244 266 304 422 427 488 532 608 844 854 976 1064 1159 1477 1688 1708 1952 2128 2318 2954 3376 3416 4009 4256 4636 5908 6752 6832 8018 8113 9272 11816 12871 13664 16036 16226 18544 23632 25742 28063 32072 32452 37088 47264 51484 56126 64144 64904 90097 102968 112252 128288 129808 180194 205936 224504 244549 259616 360388 411872 449008 489098 720776 898016 978196 1441552 1711843 1956392 2883104 3423686 3912784 6847372 7825568 13694744 27389488 54778976