Search a number
-
+
53997948 = 22333713513
BaseRepresentation
bin1100110111111…
…1000101111100
310202121101021000
43031333011330
5102310413243
65205210300
71223655264
oct315770574
9122541230
1053997948
1128531504
1216100990
13b258064
1472587a4
154b195d3
hex337f17c

53997948 has 48 divisors (see below), whose sum is σ = 143788960. Its totient is φ = 17511552.

The previous prime is 53997941. The next prime is 53997953. The reversal of 53997948 is 84979935.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 53997894 and 53997903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53997941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2761 + ... + 10752.

Almost surely, 253997948 is an apocalyptic number.

It is an amenable number.

53997948 is an abundant number, since it is smaller than the sum of its proper divisors (89791012).

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

53997948 is a wasteful number, since it uses less digits than its factorization.

53997948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13563 (or 13555 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 53997948 is about 7348.3296061078. The cubic root of 53997948 is about 377.9715272078.

It can be divided in two parts, 53997 and 948, that added together give a palindrome (54945).

The spelling of 53997948 in words is "fifty-three million, nine hundred ninety-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 13513 27026 40539 54052 81078 121617 162156 243234 364851 486468 499981 729702 999962 1459404 1499943 1999924 2999886 4499829 5999772 8999658 13499487 17999316 26998974 53997948