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742575424 = 2623641787
BaseRepresentation
bin101100010000101…
…100110101000000
31220202021201222111
4230100230311000
53010044403144
6201403545104
724254533633
oct5420546500
91822251874
10742575424
113511899a8
1218882b194
13baac8256
147089bc1a
15452d2534
hex2c42cd40

742575424 has 56 divisors (see below), whose sum is σ = 1541971008. Its totient is φ = 354140160.

The previous prime is 742575367. The next prime is 742575433. The reversal of 742575424 is 424575247.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943159 + ... + 943945.

Almost surely, 2742575424 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 742575424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770985504).

742575424 is an abundant number, since it is smaller than the sum of its proper divisors (799395584).

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

742575424 is a wasteful number, since it uses less digits than its factorization.

742575424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1453 counting only the distinct ones).

The product of its digits is 313600, while the sum is 40.

The square root of 742575424 is about 27250.2371365829. The cubic root of 742575424 is about 905.5522707888.

The spelling of 742575424 in words is "seven hundred forty-two million, five hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 641 736 787 1282 1472 1574 2564 3148 5128 6296 10256 12592 14743 18101 20512 25184 29486 36202 41024 50368 58972 72404 117944 144808 235888 289616 471776 504467 579232 943552 1008934 1158464 2017868 4035736 8071472 11602741 16142944 23205482 32285888 46410964 92821928 185643856 371287712 742575424