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55058172 = 223132171597
BaseRepresentation
bin1101001000000…
…1111011111100
310211121020121120
43102001323330
5103043330142
65244030540
71235662311
oct322017374
9124536546
1055058172
1129096024
1216532450
13b539800
147452d08
154c787ec
hex3481efc

55058172 has 72 divisors (see below), whose sum is σ = 147386736. Its totient is φ = 15934464.

The previous prime is 55058167. The next prime is 55058177. The reversal of 55058172 is 27185055.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55058167) and next prime (55058177).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55058177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33678 + ... + 35274.

It is an arithmetic number, because the mean of its divisors is an integer number (2047038).

Almost surely, 255058172 is an apocalyptic number.

55058172 is a gapful number since it is divisible by the number (52) 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 55058172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73693368).

55058172 is an abundant number, since it is smaller than the sum of its proper divisors (92328564).

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

55058172 is a wasteful number, since it uses less digits than its factorization.

55058172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 55058172 is about 7420.1194060473. The cubic root of 55058172 is about 380.4292748044.

The spelling of 55058172 in words is "fifty-five million, fifty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1326 1597 2028 2652 2873 3194 4791 5746 6388 8619 9582 11492 17238 19164 20761 27149 34476 41522 54298 62283 81447 83044 108596 124566 162894 249132 269893 325788 352937 539786 705874 809679 1058811 1079572 1411748 1619358 2117622 3238716 4235244 4588181 9176362 13764543 18352724 27529086 55058172