Search a number
-
+
53088700 = 22527149509
BaseRepresentation
bin1100101010000…
…1000110111100
310200220012000011
43022201012330
5102042314300
65133513004
71213150360
oct312410674
9120805004
1053088700
1127a70365
1215942764
13acca242
14709d2a0
1549d9eba
hex32a11bc

53088700 has 72 divisors (see below), whose sum is σ = 132804000. Its totient is φ = 18044160.

The previous prime is 53088697. The next prime is 53088701. The reversal of 53088700 is 788035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53088701) 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, 104046 + ... + 104554.

It is an arithmetic number, because the mean of its divisors is an integer number (1844500).

Almost surely, 253088700 is an apocalyptic number.

53088700 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 53088700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66402000).

53088700 is an abundant number, since it is smaller than the sum of its proper divisors (79715300).

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

53088700 is a wasteful number, since it uses less digits than its factorization.

53088700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 53088700 is about 7286.1992835771. The cubic root of 53088700 is about 375.8380074028.

The spelling of 53088700 in words is "fifty-three million, eighty-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 298 350 509 596 700 745 1018 1043 1490 2036 2086 2545 2980 3563 3725 4172 5090 5215 7126 7450 10180 10430 12725 14252 14900 17815 20860 25450 26075 35630 50900 52150 71260 75841 89075 104300 151682 178150 303364 356300 379205 530887 758410 1061774 1516820 1896025 2123548 2654435 3792050 5308870 7584100 10617740 13272175 26544350 53088700