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297972 = 22333189
BaseRepresentation
bin1001000101111110100
3120010202000
41020233310
534013342
610215300
72350503
oct1105764
9503660
10297972
11193964
12124530
13a581c
147a83a
155d44c
hex48bf4

297972 has 48 divisors (see below), whose sum is σ = 806400. Its totient is φ = 95040.

The previous prime is 297971. The next prime is 297989. The reversal of 297972 is 279792.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3304 + ... + 3392.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2297972 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 297972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

297972 is an abundant number, since it is smaller than the sum of its proper divisors (508428).

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

297972 is a wasteful number, since it uses less digits than its factorization.

297972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 297972 is about 545.8681159401. The cubic root of 297972 is about 66.7921082625.

It can be divided in two parts, 29 and 7972, that added together give a triangular number (8001 = T126).

The spelling of 297972 in words is "two hundred ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 89 93 108 124 178 186 267 279 356 372 534 558 801 837 1068 1116 1602 1674 2403 2759 3204 3348 4806 5518 8277 9612 11036 16554 24831 33108 49662 74493 99324 148986 297972