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874193488 = 24767971201
BaseRepresentation
bin110100000110110…
…010001001010000
32020220221122000121
4310012302021100
53242243142423
6222425000024
730443344030
oct6406621120
92226848017
10874193488
11409506563
12204923014
1310c15c36c
148415d8c0
1551b3045d
hex341b2250

874193488 has 80 divisors (see below), whose sum is σ = 1986511744. Its totient is φ = 364953600.

The previous prime is 874193471. The next prime is 874193497. The reversal of 874193488 is 884391478.

It is a super-3 number, since 3×8741934883 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727288 + ... + 728488.

Almost surely, 2874193488 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 874193488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993255872).

874193488 is an abundant number, since it is smaller than the sum of its proper divisors (1112318256).

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

874193488 is a wasteful number, since it uses less digits than its factorization.

874193488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The square root of 874193488 is about 29566.7632317100. The cubic root of 874193488 is about 956.1716340126.

The spelling of 874193488 in words is "eight hundred seventy-four million, one hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 67 97 112 134 194 268 388 469 536 679 776 938 1072 1201 1358 1552 1876 2402 2716 3752 4804 5432 6499 7504 8407 9608 10864 12998 16814 19216 25996 33628 45493 51992 67256 80467 90986 103984 116497 134512 160934 181972 232994 321868 363944 465988 563269 643736 727888 815479 931976 1126538 1287472 1630958 1863952 2253076 3261916 4506152 6523832 7805299 9012304 13047664 15610598 31221196 54637093 62442392 109274186 124884784 218548372 437096744 874193488