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55672500 = 2235413571
BaseRepresentation
bin1101010001011…
…1111010110100
310212202110022110
43110113322310
5103223010000
65305131020
71244131332
oct324277264
9125673273
1055672500
1129475634
1216789a70
13b6c3310
147572b52
154d4a850
hex3517eb4

55672500 has 120 divisors (see below), whose sum is σ = 175118944. Its totient is φ = 13680000.

The previous prime is 55672483. The next prime is 55672537. The reversal of 55672500 is 527655.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97215 + ... + 97785.

Almost surely, 255672500 is an apocalyptic number.

55672500 is a gapful number since it is divisible by the number (50) 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 55672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87559472).

55672500 is an abundant number, since it is smaller than the sum of its proper divisors (119446444).

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

55672500 is a wasteful number, since it uses less digits than its factorization.

55672500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 55672500 is about 7461.4006727960. The cubic root of 55672500 is about 381.8389624847.

The spelling of 55672500 in words is "fifty-five million, six hundred seventy-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 571 625 650 750 780 975 1142 1250 1300 1500 1625 1713 1875 1950 2284 2500 2855 3250 3426 3750 3900 4875 5710 6500 6852 7423 7500 8125 8565 9750 11420 14275 14846 16250 17130 19500 22269 24375 28550 29692 32500 34260 37115 42825 44538 48750 57100 71375 74230 85650 89076 97500 111345 142750 148460 171300 185575 214125 222690 285500 356875 371150 428250 445380 556725 713750 742300 856500 927875 1070625 1113450 1427500 1855750 2141250 2226900 2783625 3711500 4282500 4639375 5567250 9278750 11134500 13918125 18557500 27836250 55672500