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441479970 = 23551710687
BaseRepresentation
bin11010010100000…
…111001100100010
31010202201111200000
4122110013030202
51401004324340
6111450240430
713640342421
oct3224071442
91122644600
10441479970
11207227488
12103a26116
1370605969
14428c12b8
1528b58d30
hex1a507322

441479970 has 96 divisors (see below), whose sum is σ = 1260499968. Its totient is φ = 110792448.

The previous prime is 441479957. The next prime is 441479981. The reversal of 441479970 is 79974144.

It is a super-2 number, since 2×4414799702 = 389809127822401800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35967 + ... + 46653.

It is an arithmetic number, because the mean of its divisors is an integer number (13130208).

Almost surely, 2441479970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441479970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630249984).

441479970 is an abundant number, since it is smaller than the sum of its proper divisors (819019998).

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

441479970 is a wasteful number, since it uses less digits than its factorization.

441479970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10726 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 441479970 is about 21011.4247494072. The cubic root of 441479970 is about 761.4423038157.

The spelling of 441479970 in words is "four hundred forty-one million, four hundred seventy-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 765 810 918 1215 1377 1530 2295 2430 2754 4131 4590 6885 8262 10687 13770 20655 21374 32061 41310 53435 64122 96183 106870 160305 181679 192366 288549 320610 363358 480915 545037 577098 865647 908395 961830 1090074 1442745 1635111 1731294 1816790 2596941 2725185 2885490 3270222 4328235 4905333 5193882 5450370 8175555 8656470 9810666 12984705 14715999 16351110 24526665 25969410 29431998 44147997 49053330 73579995 88295994 147159990 220739985 441479970