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54859002 = 23112371509
BaseRepresentation
bin1101000101000…
…1010011111010
310211020010101220
43101101103322
5103020442002
65235452510
71234202532
oct321212372
9124203356
1054859002
1128a6a420
1216457136
13b499c63
1474004c2
154c397bc
hex34514fa

54859002 has 64 divisors (see below), whose sum is σ = 126904320. Its totient is φ = 15646400.

The previous prime is 54858971. The next prime is 54859003. The reversal of 54859002 is 20095845.

54859002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (54859003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107524 + ... + 108032.

It is an arithmetic number, because the mean of its divisors is an integer number (1982880).

Almost surely, 254859002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54859002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63452160).

54859002 is an abundant number, since it is smaller than the sum of its proper divisors (72045318).

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

54859002 is a wasteful number, since it uses less digits than its factorization.

54859002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 54859002 is about 7406.6863036043. The cubic root of 54859002 is about 379.9699930137.

The spelling of 54859002 in words is "fifty-four million, eight hundred fifty-nine thousand, two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 71 138 142 213 253 426 506 509 759 781 1018 1518 1527 1562 1633 2343 3054 3266 4686 4899 5599 9798 11198 11707 16797 17963 23414 33594 35121 35926 36139 53889 70242 72278 107778 108417 128777 216834 257554 386331 397529 772662 795058 831197 1192587 1662394 2385174 2493591 4987182 9143167 18286334 27429501 54859002