Search a number
-
+
53962944 = 263740151
BaseRepresentation
bin1100110111011…
…0100011000000
310202112121020120
43031312203000
5102303303234
65204340240
71223451240
oct315664300
9122477216
1053962944
1128508182
12160a4680
13b245149
147249b20
154b0e049
hex33768c0

53962944 has 56 divisors (see below), whose sum is σ = 163177728. Its totient is φ = 15417600.

The previous prime is 53962933. The next prime is 53962949. The reversal of 53962944 is 44926935.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 53962896 and 53962905.

It is not an unprimeable number, because it can be changed into a prime (53962949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18732 + ... + 21419.

It is an arithmetic number, because the mean of its divisors is an integer number (2913888).

Almost surely, 253962944 is an apocalyptic number.

It is an amenable number.

53962944 is an abundant number, since it is smaller than the sum of its proper divisors (109214784).

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

53962944 is a wasteful number, since it uses less digits than its factorization.

53962944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40173 (or 40163 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 53962944 is about 7345.9474542090. The cubic root of 53962944 is about 377.8898366021.

The spelling of 53962944 in words is "fifty-three million, nine hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 40151 80302 120453 160604 240906 281057 321208 481812 562114 642416 843171 963624 1124228 1284832 1686342 1927248 2248456 2569664 3372684 3854496 4496912 6745368 7708992 8993824 13490736 17987648 26981472 53962944