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74245248 = 273571131
BaseRepresentation
bin1000110110011…
…10010010000000
312011201001100000
410123032102000
5123001321443
611211200000
71561034310
oct433162200
9164631300
1074245248
1138a00610
1220a46000
13124c6bcc
149c09440
1567b88d3
hex46ce480

74245248 has 384 divisors, whose sum is σ = 285143040. Its totient is φ = 18662400.

The previous prime is 74245207. The next prime is 74245253. The reversal of 74245248 is 84254247.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394993 + ... + 2395023.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 274245248 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 74245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

74245248 is an abundant number, since it is smaller than the sum of its proper divisors (210897792).

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

74245248 is a wasteful number, since it uses less digits than its factorization.

74245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 74245248 is about 8616.5682263880. The cubic root of 74245248 is about 420.2969328812.

The spelling of 74245248 in words is "seventy-four million, two hundred forty-five thousand, two hundred forty-eight".