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745656048 = 243213937253
BaseRepresentation
bin101100011100011…
…100111011110000
31220222002020210200
4230130130323300
53011341443143
6201553555200
724322654224
oct5434347360
91828066720
10745656048
113529a3475
12189875b00
13bb6364c7
1471060784
15456e01d3
hex2c71cef0

745656048 has 60 divisors (see below), whose sum is σ = 2101870680. Its totient is φ = 246757248.

The previous prime is 745656031. The next prime is 745656049. The reversal of 745656048 is 840656547.

745656048 is a `hidden beast` number, since 7 + 45 + 6 + 560 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 745655994 and 745656012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745656049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1390 + ... + 38642.

It is an arithmetic number, because the mean of its divisors is an integer number (35031178).

Almost surely, 2745656048 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 745656048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050935340).

745656048 is an abundant number, since it is smaller than the sum of its proper divisors (1356214632).

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

745656048 is a wasteful number, since it uses less digits than its factorization.

745656048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37406 (or 37397 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 745656048 is about 27306.7033528399. The cubic root of 745656048 is about 906.8027912206.

It can be divided in two parts, 7456 and 56048, that added together give a square (63504 = 2522).

The spelling of 745656048 in words is "seven hundred forty-five million, six hundred fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 20016 37253 74506 111759 149012 223518 298024 335277 447036 596048 670554 894072 1341108 1788144 2682216 5178167 5364432 10356334 15534501 20712668 31069002 41425336 46603503 62138004 82850672 93207006 124276008 186414012 248552016 372828024 745656048