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472661730 = 2365232819
BaseRepresentation
bin11100001011000…
…011111011100010
31012221101201000000
4130023003323202
51432000133410
6114522440430
714466362352
oct3413037342
91187351000
10472661730
11222894832
12112363116
1376c027c8
1446abab62
152b767dc0
hex1c2c3ee2

472661730 has 112 divisors (see below), whose sum is σ = 1331536320. Its totient is φ = 120520224.

The previous prime is 472661729. The next prime is 472661737. The reversal of 472661730 is 37166274.

472661730 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 617 + 30 = 666.

It is a super-2 number, since 2×4726617302 = 446818222013185800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (472661737) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 166261 + ... + 169079.

Almost surely, 2472661730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472661730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665768160).

472661730 is an abundant number, since it is smaller than the sum of its proper divisors (858874590).

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

472661730 is a wasteful number, since it uses less digits than its factorization.

472661730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 472661730 is about 21740.7849444311. The cubic root of 472661730 is about 778.9629709681.

The spelling of 472661730 in words is "four hundred seventy-two million, six hundred sixty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 621 690 729 810 1035 1215 1242 1458 1863 2070 2430 2819 3105 3645 3726 5589 5638 6210 7290 8457 9315 11178 14095 16767 16914 18630 25371 27945 28190 33534 42285 50742 55890 64837 76113 83835 84570 126855 129674 152226 167670 194511 228339 253710 324185 380565 389022 456678 583533 648370 685017 761130 972555 1141695 1167066 1370034 1750599 1945110 2055051 2283390 2917665 3425085 3501198 4110102 5251797 5835330 6850170 8752995 10275255 10503594 15755391 17505990 20550510 26258985 31510782 47266173 52517970 78776955 94532346 157553910 236330865 472661730