Search a number
-
+
874202472 = 23321113197431
BaseRepresentation
bin110100000110110…
…100010101101000
32020220222002100100
4310012310111220
53242243434342
6222425105400
730443412153
oct6406642550
92226862310
10874202472
11409512290
12204928260
1310c163490
1484162c9a
1551b32e4c
hex341b4568

874202472 has 192 divisors, whose sum is σ = 2802159360. Its totient is φ = 242726400.

The previous prime is 874202471. The next prime is 874202473. The reversal of 874202472 is 274202478.

It is an interprime number because it is at equal distance from previous prime (874202471) and next prime (874202473).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (874202471) 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 47 ways as a sum of consecutive naturals, for example, 2028097 + ... + 2028527.

It is an arithmetic number, because the mean of its divisors is an integer number (14594580).

Almost surely, 2874202472 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 874202472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401079680).

874202472 is an abundant number, since it is smaller than the sum of its proper divisors (1927956888).

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

874202472 is a wasteful number, since it uses less digits than its factorization.

874202472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 874202472 is about 29566.9151586702. The cubic root of 874202472 is about 956.1749094951.

The spelling of 874202472 in words is "eight hundred seventy-four million, two hundred two thousand, four hundred seventy-two".