Search a number
-
+
2772928 = 26371171
BaseRepresentation
bin1010100100111111000000
312012212202001
422210333000
51202213203
6135233344
732366224
oct12447700
95185661
102772928
111624384
12b18854
137611b2
14522784
1539b91d
hex2a4fc0

2772928 has 28 divisors (see below), whose sum is σ = 5656072. Its totient is φ = 1347840.

The previous prime is 2772923. The next prime is 2772967. The reversal of 2772928 is 8292772.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1783 + ... + 2953.

22772928 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 2772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828036).

2772928 is an abundant number, since it is smaller than the sum of its proper divisors (2883144).

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

2772928 is a wasteful number, since it uses less digits than its factorization.

2772928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1210 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 2772928 is about 1665.2110977291. The cubic root of 2772928 is about 140.4902540067.

The spelling of 2772928 in words is "two million, seven hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1171 1184 2342 2368 4684 9368 18736 37472 43327 74944 86654 173308 346616 693232 1386464 2772928