Search a number
-
+
475261640 = 23572417043
BaseRepresentation
bin11100010100111…
…110101011001000
31020010021210101222
4130110332223020
51433131333030
6115054301212
714530441310
oct3424765310
91203253358
10475261640
11224300117
121131b7808
1377603009
1447196440
152bacd3e5
hex1c53eac8

475261640 has 64 divisors (see below), whose sum is σ = 1227346560. Its totient is φ = 162247680.

The previous prime is 475261601. The next prime is 475261669. The reversal of 475261640 is 46162574.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 475261640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63959 + ... + 71001.

It is an arithmetic number, because the mean of its divisors is an integer number (19177290).

Almost surely, 2475261640 is an apocalyptic number.

475261640 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 475261640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613673280).

475261640 is an abundant number, since it is smaller than the sum of its proper divisors (752084920).

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

475261640 is a wasteful number, since it uses less digits than its factorization.

475261640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 475261640 is about 21800.4963246253. The cubic root of 475261640 is about 780.3886075850.

The spelling of 475261640 in words is "four hundred seventy-five million, two hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 241 280 482 964 1205 1687 1928 2410 3374 4820 6748 7043 8435 9640 13496 14086 16870 28172 33740 35215 49301 56344 67480 70430 98602 140860 197204 246505 281720 394408 493010 986020 1697363 1972040 3394726 6789452 8486815 11881541 13578904 16973630 23763082 33947260 47526164 59407705 67894520 95052328 118815410 237630820 475261640