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472742736 = 24323457937
BaseRepresentation
bin11100001011010…
…111101101010000
31012221112211010020
4130023113231100
51432010231421
6114524303440
714500150464
oct3413275520
91187484106
10472742736
1122293a684
121123a1b80
1376c3063b
1446adc4a4
152b781dc6
hex1c2d7b50

472742736 has 80 divisors (see below), whose sum is σ = 1278501504. Its totient is φ = 150239232.

The previous prime is 472742729. The next prime is 472742761. The reversal of 472742736 is 637247274.

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, 504060 + ... + 504996.

Almost surely, 2472742736 is an apocalyptic number.

472742736 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472742736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639250752).

472742736 is an abundant number, since it is smaller than the sum of its proper divisors (805758768).

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

472742736 is a wasteful number, since it uses less digits than its factorization.

472742736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its digits is 395136, while the sum is 42.

The square root of 472742736 is about 21742.6478608287. The cubic root of 472742736 is about 779.0074686613.

The spelling of 472742736 in words is "four hundred seventy-two million, seven hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 457 552 914 937 1104 1371 1828 1874 2742 2811 3656 3748 5484 5622 7312 7496 10511 10968 11244 14992 21022 21551 21936 22488 31533 42044 43102 44976 63066 64653 84088 86204 126132 129306 168176 172408 252264 258612 344816 428209 504528 517224 856418 1034448 1284627 1712836 2569254 3425672 5138508 6851344 9848807 10277016 19697614 20554032 29546421 39395228 59092842 78790456 118185684 157580912 236371368 472742736