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472372965 = 345171923157
BaseRepresentation
bin11100001001111…
…101011011100101
31012220212000220000
4130021331123211
51431411413330
6114512331513
714464050441
oct3411753345
91186760800
10472372965
11222707889
12112243b99
1376b3123c
1446a43821
152b70c560
hex1c27d6e5

472372965 has 160 divisors (see below), whose sum is σ = 991077120. Its totient is φ = 213497856.

The previous prime is 472372963. The next prime is 472372991. The reversal of 472372965 is 569273274.

It is not a de Polignac number, because 472372965 - 21 = 472372963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (635040) is a multiple of the sum of its prime divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 472372965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472372963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3008667 + ... + 3008823.

It is an arithmetic number, because the mean of its divisors is an integer number (6194232).

Almost surely, 2472372965 is an apocalyptic number.

472372965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472372965 is an abundant number, since it is smaller than the sum of its proper divisors (518704155).

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

472372965 is a wasteful number, since it uses less digits than its factorization.

472372965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 472372965 is about 21734.1428402410. The cubic root of 472372965 is about 778.8043070647.

The spelling of 472372965 in words is "four hundred seventy-two million, three hundred seventy-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 17 19 23 27 45 51 57 69 81 85 95 115 135 153 157 171 207 255 285 323 345 391 405 437 459 471 513 621 765 785 855 969 1035 1173 1311 1377 1413 1539 1615 1863 1955 2185 2295 2355 2565 2669 2907 2983 3105 3519 3611 3933 4239 4845 5865 6555 6885 7065 7429 7695 8007 8721 8949 9315 10557 10833 11799 12717 13345 14535 14915 17595 18055 19665 21195 22287 24021 26163 26847 31671 32499 35397 37145 40035 43605 44745 50711 52785 54165 58995 61387 63585 66861 68609 72063 80541 97497 111435 120105 130815 134235 152133 158355 162495 176985 184161 200583 205827 216189 241623 253555 292491 306935 334305 343045 360315 402705 456399 487485 552483 601749 617481 760665 920805 1002915 1029135 1080945 1166353 1208115 1369197 1462455 1657449 1852443 2281995 2762415 3008745 3087405 3499059 4107591 4972347 5557329 5831765 6845985 8287245 9262215 10497177 17495295 20537955 24861735 27786645 31491531 52485885 94474593 157457655 472372965