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745805952 = 2732647401
BaseRepresentation
bin101100011101000…
…001100010000000
31220222100212102200
4230131001202000
53011411242302
6202001113200
724324150243
oct5435014200
91828325380
10745805952
11352a96061
12189928800
13bb6897c8
147109d25a
154571e81c
hex2c741880

745805952 has 48 divisors (see below), whose sum is σ = 2146137630. Its totient is φ = 248601600.

The previous prime is 745805933. The next prime is 745805959. The reversal of 745805952 is 259508547.

745805952 is a `hidden beast` number, since 7 + 4 + 58 + 0 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 486467136 + 259338816 = 22056^2 + 16104^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 745805898 and 745805907.

It is not an unprimeable number, because it can be changed into a prime (745805959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 322549 + ... + 324852.

Almost surely, 2745805952 is an apocalyptic number.

745805952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

745805952 is an abundant number, since it is smaller than the sum of its proper divisors (1400331678).

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

745805952 is a wasteful number, since it uses less digits than its factorization.

745805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647421 (or 647406 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 745805952 is about 27309.4480354327. The cubic root of 745805952 is about 906.8635539354.

The spelling of 745805952 in words is "seven hundred forty-five million, eight hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 647401 1294802 1942203 2589604 3884406 5179208 5826609 7768812 10358416 11653218 15537624 20716832 23306436 31075248 41433664 46612872 62150496 82867328 93225744 124300992 186451488 248601984 372902976 745805952