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472271360 = 2951131541
BaseRepresentation
bin11100001001100…
…100101000000000
31012220122212111212
4130021210220000
51431400140420
6114510225252
714463145301
oct3411445000
91186585455
10472271360
11222648510
121121b5228
1376ac6c12
1446a187a8
152b6dc3c5
hex1c264a00

472271360 has 160 divisors (see below), whose sum is σ = 1277489664. Its totient is φ = 165888000.

The previous prime is 472271347. The next prime is 472271363. The reversal of 472271360 is 63172274.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (472271363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872690 + ... + 873230.

Almost surely, 2472271360 is an apocalyptic number.

472271360 is a gapful number since it is divisible by the number (40) 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 472271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638744832).

472271360 is an abundant number, since it is smaller than the sum of its proper divisors (805218304).

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

472271360 is a wasteful number, since it uses less digits than its factorization.

472271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 472271360 is about 21731.8052632541. The cubic root of 472271360 is about 778.7484641244.

The spelling of 472271360 in words is "four hundred seventy-two million, two hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 256 310 320 341 352 440 496 512 541 620 640 682 704 880 992 1082 1240 1280 1364 1408 1705 1760 1984 2164 2480 2560 2705 2728 2816 3410 3520 3968 4328 4960 5410 5456 5632 5951 6820 7040 7936 8656 9920 10820 10912 11902 13640 14080 15872 16771 17312 19840 21640 21824 23804 27280 28160 29755 33542 34624 39680 43280 43648 47608 54560 59510 67084 69248 79360 83855 86560 87296 95216 109120 119020 134168 138496 167710 173120 174592 184481 190432 218240 238040 268336 276992 335420 346240 368962 380864 436480 476080 536672 670840 692480 737924 761728 872960 922405 952160 1073344 1341680 1384960 1475848 1523456 1844810 1904320 2146688 2683360 2951696 3046912 3689620 3808640 4293376 5366720 5903392 7379240 7617280 8586752 10733440 11806784 14758480 15234560 21466880 23613568 29516960 42933760 47227136 59033920 94454272 118067840 236135680 472271360