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55057662 = 232112171487
BaseRepresentation
bin1101001000000…
…1110011111110
310211121012220200
43102001303332
5103043321122
65244024330
71235660652
oct322016376
9124535820
1055057662
1129095700
12165320a6
13b5394ca
147452a62
154c785ac
hex3481cfe

55057662 has 72 divisors (see below), whose sum is σ = 138928608. Its totient is φ = 15692160.

The previous prime is 55057661. The next prime is 55057663. The reversal of 55057662 is 26675055.

It is an interprime number because it is at equal distance from previous prime (55057661) and next prime (55057663).

It is a super-2 number, since 2×550576622 = 6062692289812488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55057661) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36283 + ... + 37769.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 255057662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55057662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

55057662 is an abundant number, since it is smaller than the sum of its proper divisors (83870946).

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

55057662 is a wasteful number, since it uses less digits than its factorization.

55057662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 55057662 is about 7420.0850399439. The cubic root of 55057662 is about 380.4281001709.

The spelling of 55057662 in words is "fifty-five million, fifty-seven thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1487 1683 2057 2178 2974 3366 4114 4461 6171 8922 12342 13383 16357 18513 25279 26766 32714 37026 49071 50558 75837 98142 147213 151674 179927 227511 278069 294426 359854 455022 539781 556138 834207 1079562 1619343 1668414 2502621 3058759 3238686 5005242 6117518 9176277 18352554 27528831 55057662