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4957974 = 2327192109
BaseRepresentation
bin10010111010011100010110
3100022220001200
4102322130112
52232123344
6254133330
760066510
oct22723426
910286050
104957974
112886aaa
1217b1246
131047918
14930bb0
1567e069
hex4ba716

4957974 has 72 divisors (see below), whose sum is σ = 13075920. Its totient is φ = 1329696.

The previous prime is 4957969. The next prime is 4957987. The reversal of 4957974 is 4797594.

4957974 is a `hidden beast` number, since 4 + 9 + 579 + 74 = 666.

It is a super-3 number, since 3×49579743 (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (317520) is a multiple of the sum of its prime divisors (140).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45432 + ... + 45540.

It is an arithmetic number, because the mean of its divisors is an integer number (181610).

Almost surely, 24957974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4957974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537960).

4957974 is an abundant number, since it is smaller than the sum of its proper divisors (8117946).

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

4957974 is a wasteful number, since it uses less digits than its factorization.

4957974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 4957974 is about 2226.6508482472. The cubic root of 4957974 is about 170.5171564221.

The spelling of 4957974 in words is "four million, nine hundred fifty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 109 114 126 133 171 218 266 327 342 361 399 654 722 763 798 981 1083 1197 1526 1962 2071 2166 2289 2394 2527 3249 4142 4578 5054 6213 6498 6867 7581 12426 13734 14497 15162 18639 22743 28994 37278 39349 43491 45486 78698 86982 118047 130473 236094 260946 275443 354141 550886 708282 826329 1652658 2478987 4957974