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475204080 = 243513223683
BaseRepresentation
bin11100010100110…
…000100111110000
31020010011212110010
4130110300213300
51433123012310
6115053134520
714530111431
oct3424604760
91203155403
10475204080
1122427094a
1211318a440
13775b2a60
144717d488
152babb320
hex1c5309f0

475204080 has 160 divisors (see below), whose sum is σ = 1595897856. Its totient is φ = 116278272.

The previous prime is 475204073. The next prime is 475204099. The reversal of 475204080 is 80402574.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695419 + ... + 696101.

Almost surely, 2475204080 is an apocalyptic number.

475204080 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 475204080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797948928).

475204080 is an abundant number, since it is smaller than the sum of its proper divisors (1120693776).

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

475204080 is a wasteful number, since it uses less digits than its factorization.

475204080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 475204080 is about 21799.1761312211. The cubic root of 475204080 is about 780.3571014433.

The spelling of 475204080 in words is "four hundred seventy-five million, two hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 223 240 260 312 390 446 520 624 669 683 780 892 1040 1115 1338 1366 1560 1784 2049 2230 2676 2732 2899 3120 3345 3415 3568 4098 4460 5352 5464 5798 6690 6830 8196 8697 8879 8920 10245 10704 10928 11596 13380 13660 14495 16392 17394 17758 17840 20490 23192 26637 26760 27320 28990 32784 34788 35516 40980 43485 44395 46384 53274 53520 54640 57980 69576 71032 81960 86970 88790 106548 115960 133185 139152 142064 152309 163920 173940 177580 213096 231920 266370 304618 347880 355160 426192 456927 532740 609236 695760 710320 761545 913854 1065480 1218472 1523090 1827708 1980017 2130960 2284635 2436944 3046180 3655416 3960034 4569270 5940051 6092360 7310832 7920068 9138540 9900085 11880102 12184720 15840136 18277080 19800170 23760204 29700255 31680272 36554160 39600340 47520408 59400510 79200680 95040816 118801020 158401360 237602040 475204080