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46885240900 = 22525923672
BaseRepresentation
bin101011101010100101…
…000000000001000100
311111000111212000101201
4223222211000001010
51232010110202100
633312213232244
73246600654301
oct535245000104
9144014760351
1046885240900
111897a550483
129105932684
134562677bc4
1423aabb40a8
1513461d336a
hexaea940044

46885240900 has 81 divisors (see below), whose sum is σ = 103777393629. Its totient is φ = 18385995360.

The previous prime is 46885240889. The next prime is 46885240907. The reversal of 46885240900 is 904258864.

The square root of 46885240900 is 216530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16878686724 + 30006554176 = 129918^2 + 173224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46885240907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127752517 + ... + 127752883.

Almost surely, 246885240900 is an apocalyptic number.

46885240900 is the 216530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46885240900

46885240900 is an abundant number, since it is smaller than the sum of its proper divisors (56892152729).

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

46885240900 is an equidigital number, since it uses as much as digits as its factorization.

46885240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 46885240900 in words is "forty-six billion, eight hundred eighty-five million, two hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 367 590 734 1180 1468 1475 1835 2950 3481 3670 5900 6962 7340 9175 13924 17405 18350 21653 34810 36700 43306 69620 86612 87025 108265 134689 174050 216530 269378 348100 433060 538756 541325 673445 1082650 1277527 1346890 2165300 2555054 2693780 3367225 5110108 6387635 6734450 7946651 12775270 13468900 15893302 25550540 31786604 31938175 39733255 63876350 79466510 127752700 158933020 198666275 397332550 468852409 794665100 937704818 1875409636 2344262045 4688524090 9377048180 11721310225 23442620450 46885240900