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4971288 = 2337127233
BaseRepresentation
bin10010111101101100011000
3100100120022210
4102331230120
52233040123
6254315120
760153360
oct22755430
910316283
104971288
112896003
1217b8aa0
1310509ba
149359a0
15682e93
hex4bdb18

4971288 has 64 divisors (see below), whose sum is σ = 14376960. Its totient is φ = 1403136.

The previous prime is 4971287. The next prime is 4971301. The reversal of 4971288 is 8821794.

4971288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21220 + ... + 21452.

It is an arithmetic number, because the mean of its divisors is an integer number (224640).

Almost surely, 24971288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4971288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188480).

4971288 is an abundant number, since it is smaller than the sum of its proper divisors (9405672).

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

4971288 is a wasteful number, since it uses less digits than its factorization.

4971288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 4971288 is about 2229.6385357273. The cubic root of 4971288 is about 170.6696539462.

The spelling of 4971288 in words is "four million, nine hundred seventy-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 233 254 381 466 508 699 762 889 932 1016 1398 1524 1631 1778 1864 2667 2796 3048 3262 3556 4893 5334 5592 6524 7112 9786 10668 13048 19572 21336 29591 39144 59182 88773 118364 177546 207137 236728 355092 414274 621411 710184 828548 1242822 1657096 2485644 4971288