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742921056 = 25327932653
BaseRepresentation
bin101100010010000…
…001001101100000
31220202221022002200
4230102001031200
53010141433211
6201415213200
724260503413
oct5422011540
91822838080
10742921056
113513a5649
12188977200
13babb9677
147094bb7a
154534eb56
hex2c481360

742921056 has 72 divisors (see below), whose sum is σ = 2139490080. Its totient is φ = 244498176.

The previous prime is 742921051. The next prime is 742921061. The reversal of 742921056 is 650129247.

It is an interprime number because it is at equal distance from previous prime (742921051) and next prime (742921061).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 742921056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742921051) 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, 6426 + ... + 39078.

It is an arithmetic number, because the mean of its divisors is an integer number (29715140).

Almost surely, 2742921056 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 742921056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069745040).

742921056 is an abundant number, since it is smaller than the sum of its proper divisors (1396569024).

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

742921056 is a wasteful number, since it uses less digits than its factorization.

742921056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32748 (or 32737 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 742921056 is about 27256.5782151759. The cubic root of 742921056 is about 905.6927455405.

The spelling of 742921056 in words is "seven hundred forty-two million, nine hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 32653 65306 97959 130612 195918 261224 293877 391836 522448 587754 783672 1044896 1175508 1567344 2351016 2579587 3134688 4702032 5159174 7738761 9404064 10318348 15477522 20636696 23216283 30955044 41273392 46432566 61910088 82546784 92865132 123820176 185730264 247640352 371460528 742921056