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920053288 = 237115328181
BaseRepresentation
bin110110110101101…
…110011000101000
32101010020112211201
4312311232120220
53341013201123
6231143533544
731541216050
oct6665563050
92333215751
10920053288
11432389720
1221815a2b4
131187c813b
148a29a560
1555b8d5ad
hex36d6e628

920053288 has 64 divisors (see below), whose sum is σ = 2191432320. Its totient is φ = 351686400.

The previous prime is 920053259. The next prime is 920053297. The reversal of 920053288 is 882350029.

It is a super-2 number, since 2×9200532882 = 1692996105519221888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18558 + ... + 46738.

It is an arithmetic number, because the mean of its divisors is an integer number (34241130).

Almost surely, 2920053288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920053288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095716160).

920053288 is an abundant number, since it is smaller than the sum of its proper divisors (1271379032).

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

920053288 is a wasteful number, since it uses less digits than its factorization.

920053288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28258 (or 28254 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 920053288 is about 30332.3801901532. The cubic root of 920053288 is about 972.6076038684.

The spelling of 920053288 in words is "nine hundred twenty million, fifty-three thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 53 56 77 88 106 154 212 308 371 424 583 616 742 1166 1484 2332 2968 4081 4664 8162 16324 28181 32648 56362 112724 197267 225448 309991 394534 619982 789068 1239964 1493593 1578136 2169937 2479928 2987186 4339874 5974372 8679748 10455151 11948744 16429523 17359496 20910302 32859046 41820604 65718092 83641208 115006661 131436184 230013322 460026644 920053288