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475009002 = 233131753751
BaseRepresentation
bin11100010100000…
…000111111101010
31020002210221212000
4130110000333222
51433100242002
6115045031430
714525336616
oct3424007752
91202727760
10475009002
11224148326
121130b5576
1377545020
144712c346
152ba7d61c
hex1c500fea

475009002 has 128 divisors (see below), whose sum is σ = 1227985920. Its totient is φ = 134784000.

The previous prime is 475008983. The next prime is 475009033. The reversal of 475009002 is 200900574.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632127 + ... + 632877.

It is an arithmetic number, because the mean of its divisors is an integer number (9593640).

Almost surely, 2475009002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475009002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613992960).

475009002 is an abundant number, since it is smaller than the sum of its proper divisors (752976918).

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

475009002 is a wasteful number, since it uses less digits than its factorization.

475009002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 475009002 is about 21794.7012367685. The cubic root of 475009002 is about 780.2503042834.

Adding to 475009002 its reverse (200900574), we get a palindrome (675909576).

The spelling of 475009002 in words is "four hundred seventy-five million, nine thousand, two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 53 54 78 102 106 117 153 159 221 234 306 318 351 442 459 477 663 689 702 751 901 918 954 1326 1378 1431 1502 1802 1989 2067 2253 2703 2862 3978 4134 4506 5406 5967 6201 6759 8109 9763 11713 11934 12402 12767 13518 16218 18603 19526 20277 23426 24327 25534 29289 35139 37206 38301 39803 40554 48654 58578 70278 76602 79606 87867 105417 114903 119409 165971 175734 210834 229806 238818 263601 316251 331942 344709 358227 497913 517439 527202 632502 676651 689418 716454 995826 1034878 1074681 1353302 1493739 1552317 2029953 2149362 2987478 3104634 4059906 4481217 4656951 6089859 8796463 8962434 9313902 12179718 13970853 17592926 18269577 26389389 27941706 36539154 52778778 79168167 158336334 237504501 475009002