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742604512 = 251319471999
BaseRepresentation
bin101100010000110…
…011111011100000
31220202100012212211
4230100303323200
53010101321022
6201404331504
724255014506
oct5420637340
91822305784
10742604512
113511a9841
12188843b94
13bab08570
14708a8676
15452dae77
hex2c433ee0

742604512 has 96 divisors (see below), whose sum is σ = 1693440000. Its totient is φ = 317634048.

The previous prime is 742604509. The next prime is 742604521. The reversal of 742604512 is 215406247.

It is a super-2 number, since 2×7426045122 = 1102922922485516288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370489 + ... + 372487.

It is an arithmetic number, because the mean of its divisors is an integer number (17640000).

Almost surely, 2742604512 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 742604512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720000).

742604512 is an abundant number, since it is smaller than the sum of its proper divisors (950835488).

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

742604512 is a wasteful number, since it uses less digits than its factorization.

742604512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 742604512 is about 27250.7708514823. The cubic root of 742604512 is about 905.5640946654.

The spelling of 742604512 in words is "seven hundred forty-two million, six hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 47 52 76 94 104 152 188 208 247 304 376 416 494 608 611 752 893 988 1222 1504 1786 1976 1999 2444 3572 3952 3998 4888 7144 7904 7996 9776 11609 14288 15992 19552 23218 25987 28576 31984 37981 46436 51974 63968 75962 92872 93953 103948 151924 185744 187906 207896 303848 371488 375812 415792 493753 607696 751624 831584 987506 1215392 1221389 1503248 1785107 1975012 2442778 3006496 3570214 3950024 4885556 7140428 7900048 9771112 14280856 15800096 19542224 23206391 28561712 39084448 46412782 57123424 92825564 185651128 371302256 742604512