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874007928 = 23338348751
BaseRepresentation
bin110100000110000…
…100110101111000
32020220121012111000
4310012010311320
53242221223203
6222421005000
730441642033
oct6406046570
92226535430
10874007928
1140939a102
12204853760
1310c0c5a71
148411201a
1551ae54a3
hex34184d78

874007928 has 64 divisors (see below), whose sum is σ = 2457100800. Its totient is φ = 287820000.

The previous prime is 874007921. The next prime is 874007933. The reversal of 874007928 is 829700478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874007921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6448 + ... + 42303.

It is an arithmetic number, because the mean of its divisors is an integer number (38392200).

Almost surely, 2874007928 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 874007928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228550400).

874007928 is an abundant number, since it is smaller than the sum of its proper divisors (1583092872).

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

874007928 is a wasteful number, since it uses less digits than its factorization.

874007928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48849 (or 48839 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 874007928 is about 29563.6250821850. The cubic root of 874007928 is about 956.1039755494.

The spelling of 874007928 in words is "eight hundred seventy-four million, seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1494 1992 2241 2988 4482 5976 8964 17928 48751 97502 146253 195004 292506 390008 438759 585012 877518 1170024 1316277 1755036 2632554 3510072 4046333 5265108 8092666 10530216 12138999 16185332 24277998 32370664 36416997 48555996 72833994 97111992 109250991 145667988 218501982 291335976 437003964 874007928