Search a number
-
+
4974710592 = 263435311369
BaseRepresentation
bin1001010001000010…
…00000111101000000
3110211200210111000110
410220201000331000
540142011214332
62141345151320
7234164225265
oct45041007500
913750714013
104974710592
112123104775
12b6a02b540
13613845a47
1435299b26c
151e1b0d4cc
hex128840f40

4974710592 has 112 divisors (see below), whose sum is σ = 13723680960. Its totient is φ = 1588973568.

The previous prime is 4974710591. The next prime is 4974710593. The reversal of 4974710592 is 2950174794.

It is an interprime number because it is at equal distance from previous prime (4974710591) and next prime (4974710593).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974710591) 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, 431884 + ... + 443252.

Almost surely, 24974710592 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 4974710592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861840480).

4974710592 is an abundant number, since it is smaller than the sum of its proper divisors (8748970368).

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

4974710592 is a wasteful number, since it uses less digits than its factorization.

4974710592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11480 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 4974710592 is about 70531.6283095747. The cubic root of 4974710592 is about 1707.0881204704.

The spelling of 4974710592 in words is "four billion, nine hundred seventy-four million, seven hundred ten thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 53 64 86 96 106 129 159 172 192 212 258 318 344 424 516 636 688 848 1032 1272 1376 1696 2064 2279 2544 2752 3392 4128 4558 5088 6837 8256 9116 10176 11369 13674 18232 22738 27348 34107 36464 45476 54696 68214 72928 90952 109392 136428 145856 181904 218784 272856 363808 437568 488867 545712 602557 727616 977734 1091424 1205114 1466601 1807671 1955468 2182848 2410228 2933202 3615342 3910936 4820456 5866404 7230684 7821872 9640912 11732808 14461368 15643744 19281824 23465616 25909951 28922736 31287488 38563648 46931232 51819902 57845472 77729853 93862464 103639804 115690944 155459706 207279608 310919412 414559216 621838824 829118432 1243677648 1658236864 2487355296 4974710592