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54876030 = 23511179929
BaseRepresentation
bin1101000101010…
…1011101111110
310211020222202120
43101111131332
5103022013110
65240103410
71234303266
oct321253576
9124228676
1054876030
1128a811a0
1216464b66
13b4a4931
1474067a6
154c3e870
hex345577e

54876030 has 64 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 13214720.

The previous prime is 54876013. The next prime is 54876037. The reversal of 54876030 is 3067845.

It is a super-2 number, since 2×548760302 = 6022757337121800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 54875982 and 54876000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54876037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58606 + ... + 59534.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 254876030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54876030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

54876030 is an abundant number, since it is smaller than the sum of its proper divisors (89757570).

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

54876030 is a wasteful number, since it uses less digits than its factorization.

54876030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 54876030 is about 7407.8357163209. The cubic root of 54876030 is about 380.0093026347.

The spelling of 54876030 in words is "fifty-four million, eight hundred seventy-six thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 179 330 358 537 895 929 1074 1790 1858 1969 2685 2787 3938 4645 5370 5574 5907 9290 9845 10219 11814 13935 19690 20438 27870 29535 30657 51095 59070 61314 102190 153285 166291 306570 332582 498873 831455 997746 1662910 1829201 2494365 3658402 4988730 5487603 9146005 10975206 18292010 27438015 54876030