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53941440 = 2635723349
BaseRepresentation
bin1100110111000…
…1010011000000
310202111111202010
43031301103000
5102302111230
65204052520
71223331450
oct315612300
9122444663
1053941440
11284a3003
1216094140
13b238417
147241d60
154b079b0
hex33714c0

53941440 has 224 divisors, whose sum is σ = 204825600. Its totient is φ = 11759616.

The previous prime is 53941423. The next prime is 53941441. The reversal of 53941440 is 4414935.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 53941398 and 53941407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53941441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154386 + ... + 154734.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 253941440 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 53941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

53941440 is an abundant number, since it is smaller than the sum of its proper divisors (150884160).

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

53941440 is a wasteful number, since it uses less digits than its factorization.

53941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 53941440 is about 7344.4836442054. The cubic root of 53941440 is about 377.8396341107.

The spelling of 53941440 in words is "fifty-three million, nine hundred forty-one thousand, four hundred forty".