Search a number
-
+
53994900 = 22352211853
BaseRepresentation
bin1100110111111…
…0010110010100
310202121020002010
43031332112110
5102310314100
65205144220
71223643351
oct315762624
9122536063
1053994900
112852a193
12160bb070
13b25685b
147257628
154b18750
hex337e594

53994900 has 72 divisors (see below), whose sum is σ = 157149664. Its totient is φ = 14313600.

The previous prime is 53994859. The next prime is 53994923. The reversal of 53994900 is 949935.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62874 + ... + 63726.

Almost surely, 253994900 is an apocalyptic number.

53994900 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 53994900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78574832).

53994900 is an abundant number, since it is smaller than the sum of its proper divisors (103154764).

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

53994900 is a wasteful number, since it uses less digits than its factorization.

53994900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 53994900 is about 7348.1222091089. The cubic root of 53994900 is about 377.9644153395.

The spelling of 53994900 in words is "fifty-three million, nine hundred ninety-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 422 633 844 853 1055 1266 1706 2110 2532 2559 3165 3412 4220 4265 5118 5275 6330 8530 10236 10550 12660 12795 15825 17060 21100 21325 25590 31650 42650 51180 63300 63975 85300 127950 179983 255900 359966 539949 719932 899915 1079898 1799830 2159796 2699745 3599660 4499575 5399490 8999150 10798980 13498725 17998300 26997450 53994900