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54936728 = 23711101883
BaseRepresentation
bin1101000110010…
…0010010011000
310211101002000122
43101210102120
5103030433403
65241252412
71234645250
oct321442230
9124332018
1054936728
1129012860
1216494108
13b4c6452
147420960
154c52838
hex3464498

54936728 has 64 divisors (see below), whose sum is σ = 129841920. Its totient is φ = 21168000.

The previous prime is 54936727. The next prime is 54936751. The reversal of 54936728 is 82763945.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (362880) is a multiple of the sum of its prime factors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54936727) 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, 61775 + ... + 62657.

It is an arithmetic number, because the mean of its divisors is an integer number (2028780).

Almost surely, 254936728 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 54936728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64920960).

54936728 is an abundant number, since it is smaller than the sum of its proper divisors (74905192).

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

54936728 is a wasteful number, since it uses less digits than its factorization.

54936728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1004 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 54936728 is about 7411.9314621764. The cubic root of 54936728 is about 380.1493595689.

It can be divided in two parts, 5493 and 6728, that added together give a palindrome (12221).

The spelling of 54936728 in words is "fifty-four million, nine hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 707 808 883 1111 1414 1766 2222 2828 3532 4444 5656 6181 7064 7777 8888 9713 12362 15554 19426 24724 31108 38852 49448 62216 67991 77704 89183 135982 178366 271964 356732 543928 624281 713464 981013 1248562 1962026 2497124 3924052 4994248 6867091 7848104 13734182 27468364 54936728