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745122944 = 2731792377
BaseRepresentation
bin101100011010011…
…010110010000000
31220221002011112002
4230122122302000
53011222413234
6201534323132
724315304046
oct5432326200
91827064462
10745122944
11352669995
121896594a8
13bb4aa967
1470d62396
154563727e
hex2c69ac80

745122944 has 64 divisors (see below), whose sum is σ = 1552358400. Its totient is φ = 355829760.

The previous prime is 745122929. The next prime is 745122947. The reversal of 745122944 is 449221547.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 745122898 and 745122907.

It is not an unprimeable number, because it can be changed into a prime (745122947) 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, 312284 + ... + 314660.

It is an arithmetic number, because the mean of its divisors is an integer number (24255600).

Almost surely, 2745122944 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 745122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776179200).

745122944 is an abundant number, since it is smaller than the sum of its proper divisors (807235456).

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

745122944 is a wasteful number, since it uses less digits than its factorization.

745122944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2489 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 745122944 is about 27296.9401948277. The cubic root of 745122944 is about 906.5866346120.

The spelling of 745122944 in words is "seven hundred forty-five million, one hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 128 158 248 316 496 632 992 1264 1984 2377 2449 2528 3968 4754 4898 5056 9508 9796 10112 19016 19592 38032 39184 73687 76064 78368 147374 152128 156736 187783 294748 304256 313472 375566 589496 751132 1178992 1502264 2357984 3004528 4715968 5821273 6009056 9431936 11642546 12018112 23285092 24036224 46570184 93140368 186280736 372561472 745122944