Search a number
-
+
4701486040 = 2353125714753
BaseRepresentation
bin1000110000011101…
…01111101111011000
3110010122200020101121
410120032233233120
534112040023130
62054305055024
7224335654246
oct43016575730
913118606347
104701486040
111aa2959059
12ab2627474
1359c061304
14328597796
151c7b3cd7a
hex1183afbd8

4701486040 has 64 divisors (see below), whose sum is σ = 10962812160. Its totient is φ = 1812725760.

The previous prime is 4701486029. The next prime is 4701486073. The reversal of 4701486040 is 406841074.

It is a junction number, because it is equal to n+sod(n) for n = 4701485987 and 4701486005.

It is a congruent number.

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, 311304 + ... + 326056.

It is an arithmetic number, because the mean of its divisors is an integer number (171293940).

Almost surely, 24701486040 is an apocalyptic number.

4701486040 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 4701486040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481406080).

4701486040 is an abundant number, since it is smaller than the sum of its proper divisors (6261326120).

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

4701486040 is a wasteful number, since it uses less digits than its factorization.

4701486040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15052 (or 15048 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 4701486040 is about 68567.3832080531. The cubic root of 4701486040 is about 1675.2452053587.

The spelling of 4701486040 in words is "four billion, seven hundred one million, four hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 257 310 514 620 1028 1240 1285 2056 2570 5140 7967 10280 14753 15934 29506 31868 39835 59012 63736 73765 79670 118024 147530 159340 295060 318680 457343 590120 914686 1829372 2286715 3658744 3791521 4573430 7583042 9146860 15166084 18293720 18957605 30332168 37915210 75830420 117537151 151660840 235074302 470148604 587685755 940297208 1175371510 2350743020 4701486040