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74037152 = 2571073089
BaseRepresentation
bin1000110100110…
…11011110100000
312011022110212202
410122123132200
5122423142102
611202512332
71556206520
oct432333640
9164273782
1074037152
1138879232
12209656a8
1312453287
149b93680
156776e02
hex469b7a0

74037152 has 48 divisors (see below), whose sum is σ = 168194880. Its totient is φ = 31423488.

The previous prime is 74037133. The next prime is 74037163. The reversal of 74037152 is 25173047.

It is a super-2 number, since 2×740371522 = 10962999752542208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22424 + ... + 25512.

It is an arithmetic number, because the mean of its divisors is an integer number (3504060).

Almost surely, 274037152 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 74037152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84097440).

74037152 is an abundant number, since it is smaller than the sum of its proper divisors (94157728).

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

74037152 is a wasteful number, since it uses less digits than its factorization.

74037152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 74037152 is about 8604.4844122120. The cubic root of 74037152 is about 419.9038933540.

The spelling of 74037152 in words is "seventy-four million, thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2996 3089 3424 5992 6178 11984 12356 21623 23968 24712 43246 49424 86492 98848 172984 330523 345968 661046 691936 1322092 2313661 2644184 4627322 5288368 9254644 10576736 18509288 37018576 74037152